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Relevant bibliographies by topics / Triangulating manifolds

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Academic literature on the topic 'Triangulating manifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 28 July 2024

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Journal articles on the topic "Triangulating manifolds"

1

Ayala, R., A. Quintero, and W. J. R. Mitchell. "Triangulating and recognising PL homology manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 104, no. 3 (1988): 497–504. http://dx.doi.org/10.1017/s0305004100065683.

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Sakai, Katsuro. "Simplicial complexes triangulating infinite-dimensional manifolds." Topology and its Applications 29, no. 2 (1988): 167–83. http://dx.doi.org/10.1016/0166-8641(88)90073-9.

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Cooper, D., and W. P. Thurston. "Triangulating 3-manifolds using 5 vertex link types." Topology 27, no. 1 (1988): 23–25. http://dx.doi.org/10.1016/0040-9383(88)90004-3.

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Bell, Mark, Joel Hass, Joachim Hyam Rubinstein, and Stephan Tillmann. "Computing trisections of 4-manifolds." Proceedings of the National Academy of Sciences 115, no. 43 (2018): 10901–7. http://dx.doi.org/10.1073/pnas.1717173115.

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We describe an algorithm to compute trisections of orientable four-manifolds using arbitrary triangulations as input. This results in explicit complexity bounds for the trisection genus of a 4-manifold in terms of the number of pentachora (4-simplices) in a triangulation.

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Gaifullin, Alexander Aleksandrovich. "634 vertex-transitive and more than $10^{103}$ non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane." Izvestiya: Mathematics 88, no. 3 (2024): 419–67. http://dx.doi.org/10.4213/im9489e.

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In 1987 Brehm and Kühnel showed that any combinatorial $d$-manifold with less than $3d/2+3$ vertices is PL homeomorphic to the sphere and any combinatorial $d$-manifold with exactly $3d/2+3$ vertices is PL homeomorphic to either the sphere or a manifold like a projective plane in the sense of Eells and Kuiper. The latter possibility may occur for $d\in\{2,4,8,16\}$ only. There exist a unique $6$-vertex triangulation of $\mathbb{RP}^2$, a unique $9$-vertex triangulation of $\mathbb{CP}^2$, and at least three $15$-vertex triangulations of $\mathbb{HP}^2$. However, until now, the question of whe

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Gaifullin, Alexander Aleksandrovich. "634 vertex-transitive and more than $10^{103}$ non-vertex-transitive 27-vertex triangulations of manifolds like the octonionic projective plane." Известия Российской академии наук. Серия математическая 88, no. 3 (2024): 12–60. http://dx.doi.org/10.4213/im9489.

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In 1987 Brehm and Kühnel showed that any combinatorial $d$-manifold with less than $3d/2+3$ vertices is PL homeomorphic to the sphere and any combinatorial $d$-manifold with exactly $3d/2+3$ vertices is PL homeomorphic to either the sphere or a manifold like a projective plane in the sense of Eells and Kuiper. The latter possibility may occur for $d\in\{2,4,8,16\}$ only. There exist a unique $6$-vertex triangulation of $\mathbb{RP}^2$, a unique $9$-vertex triangulation of $\mathbb{CP}^2$, and at least three $15$-vertex triangulations of $\mathbb{HP}^2$. However, until now, the question of whe

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7

Kang, Ensil. "Normal surfaces in non-compact 3-manifolds." Journal of the Australian Mathematical Society 78, no. 3 (2005): 305–21. http://dx.doi.org/10.1017/s1446788700008557.

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AbstractWe extend the normal surface Q-theory to non-compact 3-manifolds with respect to ideal triangulations. An ideal triangulation of a 3-manifold often has a small number of tetrahedra resulting in a system of Q-matching equations with a small number of variables. A unique feature of our approach is that a compact surface F with boundary properly embedded in a non-compact 3-manifold M with an ideal triangulation with torus cusps can be represented by a normal surface in M as follows. A half-open annulus made up of an infinite number of triangular disks is attached to each boundary componen

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8

Casali, Maria Rita. "The Average Edge Order of 3-Manifold Coloured Triangulations." Canadian Mathematical Bulletin 37, no. 2 (1994): 154–61. http://dx.doi.org/10.4153/cmb-1994-022-x.

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AbstractIf K is a triangulation of a closed 3-manifold M with E0(K) edges and F0(K) triangles, then the average edge order of K is defined to beIn [8], the relations between this quantity and the topology of M are investigated, especially in the case of μ0(K) being small (where the study relies on Oda's classification of triangulations of 𝕊2 up to eight vertices—see [9]). In the present paper, the attention is fixed upon the average edge order of coloured triangulations; surprisingly enough, the obtained results are perfectly analogous to Luo-Stong' ones, and may be proved with little effort b

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Knudson, Kevin P. "Approximate Triangulations of Grassmann Manifolds." Algorithms 13, no. 7 (2020): 172. http://dx.doi.org/10.3390/a13070172.

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We define the notion of an approximate triangulation for a manifold M embedded in Euclidean space. The basic idea is to build a nested family of simplicial complexes whose vertices lie in M and use persistent homology to find a complex in the family whose homology agrees with that of M. Our key examples are various Grassmann manifolds G k ( R n ) .

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BURTON, BENJAMIN A. "STRUCTURES OF SMALL CLOSED NON-ORIENTABLE 3-MANIFOLD TRIANGULATIONS." Journal of Knot Theory and Its Ramifications 16, no. 05 (2007): 545–74. http://dx.doi.org/10.1142/s0218216507005439.

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A census is presented of all closed non-orientable 3-manifold triangulations formed from at most seven tetrahedra satisfying the additional constraints of minimality and ℙ2-irreducibility. The eight different 3-manifolds represented by these 41 different triangulations are identified and described in detail, with particular attention paid to the recurring combinatorial structures that are shared amongst the different triangulations. Using these recurring structures, the resulting triangulations are generalised to infinite families that allow similar triangulations of additional 3-manifolds to

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Dissertations / Theses on the topic "Triangulating manifolds"

1

Distexhe, Julie. "Triangulating symplectic manifolds." Doctoral thesis, Universite Libre de Bruxelles, 2019. https://dipot.ulb.ac.be/dspace/bitstream/2013/287522/3/toc.pdf.

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Le but de cette thèse est d'étudier les structures symplectiques dans la catégorie des variétés linéaires par morceaux (PL). La question centrale est de déterminer si toute variété symplectique lisse $(M,omega)$ peut être triangulée de manière symplectique, au sens où il existe une variété linéaire par morceaux $K$ et une triangulation $h :K -> M$ telle que $h^*omega$ est une forme symplectique constante par morceaux. Nous étudions d'abord un problème plus simple, qui consiste à trianguler les formes volumes lisses. Étant donnée une variété lisse $M$ munie d'une forme volume $Omega$, nous mont

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Woodruff, Benjamin M. "Statistical Properties of Thompson's Group and Random Pseudo Manifolds." Diss., CLICK HERE for online access, 2005. http://contentdm.lib.byu.edu/ETD/image/etd854.pdf.

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Mijatović, Aleksandar. "Triangulations of three-manifolds." Thesis, University of Cambridge, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.619611.

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Barchechat, Alexandre. "Minimal triangulations of 3-manifolds /." For electronic version search Digital dissertations database. Restricted to UC campuses. Access is free to UC campus dissertations, 2003. http://uclibs.org/PID/11984.

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Gill, Montek Singh. "Representations of the Fundamental Groups of Triangulated 3-Manifolds." Thesis, The University of Sydney, 2016. http://hdl.handle.net/2123/14683.

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In this thesis we study representations of the fundamental groups of triangulated 3-manifolds. Previous work of Rubinstein-Tillmann has chosen how to construct a class of such representations into the symmetric groups when the triangulation is even. In another context, building on the work of Thurston and many others on geometric structures and associated holonomy representations, work of Luo has shown how to construct a class of such representations into projective linear groups when the triangulation admits a solution to the hyperbolic gluing equations over some commutative ring with identit

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Melzer, Sebastian [Verfasser], Ulrich [Gutachter] Brehm, and Frank H. [Gutachter] Lutz. "k-irreducible triangulations of 2-manifolds / Sebastian Melzer ; Gutachter: Ulrich Brehm, Frank H. Lutz." Dresden : Technische Universität Dresden, 2019. http://d-nb.info/1226942466/34.

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Krüger, Benedikt [Verfasser], Klaus [Gutachter] Mecke, and Frank H. [Gutachter] Lutz. "Simulating Triangulations: Graphs, Manifolds and (Quantum) Spacetime / Benedikt Krüger ; Gutachter: Klaus Mecke, Frank H. Lutz." Erlangen : FAU University Press, 2016. http://d-nb.info/1118850017/34.

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Krüger, Benedikt [Verfasser], Klaus R. [Gutachter] Mecke, and Frank H. [Gutachter] Lutz. "Simulating Triangulations: Graphs, Manifolds and (Quantum) Spacetime / Benedikt Krüger ; Gutachter: Klaus Mecke, Frank H. Lutz." Erlangen : FAU University Press, 2016. http://nbn-resolving.de/urn:nbn:de:bvb:29-opus4-77370.

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Yazdan, Pour Ali Akbar. "Résolutions et Régularité de Castelnuovo-Mumford." Thesis, Grenoble, 2012. http://www.theses.fr/2012GRENM083/document.

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Le sujet de cette thèse est l'étude d'idéaux monomiaux de l'anneau de polynômes S qui ont une résolution linéaire. D'après un résultat remarquable de Bayer et Stilman et en utilisant la polarisation, la classification des idéaux monomiaux ayant une résolution linéaire est équivalente à la classification des idéaux monomiaux libres de carrés ayant une résolution linéaire. Pour cette raison dans cette thèse nous considérons seulement le cas d'idéaux monomiaux libres de carrés. De plus, le théorème de Eagon-Reiner établit une dualité entre les idéaux monomiaux libres de carrés ayant une résolutio

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Petrauskas, Ignas. "Netiesinių daugdarų atpažinimo metodų taikymo web-kamera gautiems vaizdų rinkiniams analizuoti tyrimas." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2014. http://vddb.library.lt/obj/LT-eLABa-0001:E.02~2012~D_20140704_173536-90409.

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Šiame darbe nagrinėjami netiesiniai daugdarų atpažinimo metodai ir daugiamačių duomenų projekcijos metodai. Siūloma jais spręsti keliais laisvės laipsniais besisukančio objekto orientacijos radimo problemą. Aprašomi MDS, Trianguliacijos, Sammon, RPM, mRPM, CCA, PCA, LLE, LE, HLLE, LTSA, SMACOF ir Isomap metodai. Su kai kuriais iš jų atliekami web-kamera gautų galvos atvaizdų tyrimai. Isomap algoritmo pagrindu sukuriama programinė įranga ir su ja taipogi atliekami galvos orientacijos tyrimai.<br>This paper deals with Analysis of non-linear manifold learning methods and multidimensional data pro

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Books on the topic "Triangulating manifolds"

1

Korppi, Tuomas. Equivariant triangulations of differentiable and real-analytic manifolds with a properly discontinuous action. Suomalainen Tiedeakatemia, 2005.

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2

Wolfgang, Kühnel. Tight polyhedral submanifolds and tight triangulations. Springer-Verlag, 1995.

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3

Jaco, William H., Hyam Rubinstein, Craig David Hodgson, Martin Scharlemann, and Stephan Tillmann. Geometry and topology down under: A conference in honour of Hyam Rubinstein, July 11-22, 2011, The University of Melbourne, Parkville, Australia. American Mathematical Society, 2013.

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4

Annalisa, Marzuoli, and SpringerLink (Online service), eds. Quantum Triangulations: Moduli Spaces, Strings, and Quantum Computing. Springer Berlin Heidelberg, 2012.

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5

Topology and geometry in dimension three: Triangulations, invariants, and geometric structures : conference in honor of William Jaco's 70th birthday, June 4-6, 2010, Oklahoma State University, Stillwater, OK. American Mathematical Society, 2011.

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6

Introduction to 3-maniflods. AMS, 2014.

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Hyperbolic Knot Theory. American Mathematical Society, 2020.

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Lin, Francesco. Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture. American Mathematical Society, 2018.

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Kirby, Robion C., and Laurence C. Siebenmann. Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88), Volume 88. Princeton University Press, 2016.

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Newstok, Scott. Making ‘Music at the Editing Table’. Edited by James C. Bulman. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199687169.013.2.

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Orson Welles was as multifaceted as Shakespeare in drawing his material from manifold sources across multiple media. His 1952 film Othello strategically echoes Verdi and Boito’s 1887 opera Otello, and thereby vindicates his adaptation’s liberties by triangulating and transmediating his sources. Invoking Verdi also permitted Welles to contrast his own Shakespeare films with those of Laurence Olivier, whom Welles dismissed as merely a transcriber of stage versions. In contrast, Welles described his own editing practice as being more akin to musical composition. Attending to Welles’s recurrent an

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Book chapters on the topic "Triangulating manifolds"

1

Kühnel, Wolfgang. "(k−1)-connected 2k-manifolds." In Tight Polyhedral Submanifolds and Tight Triangulations. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0096345.

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Schipper, Haijo. "Generating triangulations of 2-manifolds." In Computational Geometry-Methods, Algorithms and Applications. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/3-540-54891-2_18.

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3

Kim, Sang-hyun. "Acute Geodesic Triangulations of Manifolds." In In the Tradition of Thurston II. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-97560-9_7.

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Kühnel, Wolfgang. "3-manifolds and twisted sphere bundles." In Tight Polyhedral Submanifolds and Tight Triangulations. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0096346.

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Kühnel, Wolfgang. "Connected sums and manifolds with boundary." In Tight Polyhedral Submanifolds and Tight Triangulations. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/bfb0096347.

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Sakai, Katsuro. "Triangulation of Hilbert Cube Manifolds and Related Topics." In Springer Monographs in Mathematics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7575-4_4.

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Kalik, K., R. Quatember, and W. L. Wendland. "Interpolation, Triangulation and Numerical Integration on Closed Manifolds." In Boundary Element Topics. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/978-3-642-60791-2_19.

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Viro, O. "Moves of triangulations of a PL-manifold." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/bfb0101204.

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Fedoseev, Denis A., Vassily O. Manturov, and Igor M. Nikonov. "Manifolds of Triangulations, Braid Groups of Manifolds, and the Groups $$\Gamma _{n}^{k}$$." In Lecture Notes in Computational Science and Engineering. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76798-3_2.

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Quinn, Frank. "The Triangulation of Manifolds: Topology, Gauge Theory, and History." In Arbeitstagung Bonn 2013. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43648-7_11.

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Conference papers on the topic "Triangulating manifolds"

1

Kang, Ensil, and J. Hyam Rubinstein. "Ideal triangulations of 3–manifolds I: spun normal surface theory." In Conference on the Topology of Manifolds of Dimensions 3 and 4. Mathematical Sciences Publishers, 2004. http://dx.doi.org/10.2140/gtm.2004.7.235.

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Eppstein, David, and M. Gopi. "Single-strip triangulation of manifolds with arbitrary topology." In the twentieth annual symposium. ACM Press, 2004. http://dx.doi.org/10.1145/997817.997888.

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Leibon, Greg, and David Letscher. "Delaunay triangulations and Voronoi diagrams for Riemannian manifolds." In the sixteenth annual symposium. ACM Press, 2000. http://dx.doi.org/10.1145/336154.336221.

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CHEN, Menglin, and Yue CHEN. "CLUSTER-BASED TRIANGULATION FOR CLOSED MANIFOLD SURFACE." In 11th Joint International Computer Conference - JICC 2005. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701534_0186.

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Burton, Benjamin A. "A new approach to crushing 3-manifold triangulations." In the 29th annual symposium. ACM Press, 2013. http://dx.doi.org/10.1145/2462356.2462409.

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Caroli, Manuel, and Monique Teillaud. "Delaunay triangulations of point sets in closed euclidean d-manifolds." In the 27th annual ACM symposium. ACM Press, 2011. http://dx.doi.org/10.1145/1998196.1998236.

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Romanoni, Andrea, Amael Delaunoy, Marc Pollefeys, and Matteo Matteucci. "Automatic 3D reconstruction of manifold meshes via delaunay triangulation and mesh sweeping." In 2016 IEEE Winter Conference on Applications of Computer Vision (WACV). IEEE, 2016. http://dx.doi.org/10.1109/wacv.2016.7477650.

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Burton, Benjamin A. "Detecting genus in vertex links for the fast enumeration of 3-manifold triangulations." In the 36th international symposium. ACM Press, 2011. http://dx.doi.org/10.1145/1993886.1993901.

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Dann, Andrew G., Steve J. Thorpe, Leo V. Lewis, and Peter Ireland. "Innovative Measurement Techniques for a Cooled Turbine Casing Operating at Engine Representative Thermal Conditions." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26092.

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To optimize the efficiency of modern aero-gas turbine engines the turbine tip clearances must be tightly controlled so as to minimize leakage losses. In addition, the clearance control system must be able to respond with sufficient rapidity to engine thermal transients. One method of achieving turbine tip-clearance control is to manipulate the turbine casing temperature, and thereby radial growth, by convective cooling. The consequent clearance control system represents a particularly complex thermo-mechanical design problem. The current experimental study aims to simulate the heat loads to wh

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