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Relevant bibliographies by topics / Surfaces non orientables

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Academic literature on the topic 'Surfaces non orientables'

Author: Grafiati

Published: 19 October 2024

Last updated: 31 July 2025

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Journal articles on the topic "Surfaces non orientables"

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Oliveira, M. Elisa G. G., and Eric Toubiana. "Surfaces non-orientables de genre deux." Boletim da Sociedade Brasileira de Matem�tica 24, no. 1 (1993): 63–88. http://dx.doi.org/10.1007/bf01231696.

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Toubiana, E. "Surfaces minimales non orientables de genre quelconque." Bulletin de la Société mathématique de France 121, no. 2 (1993): 183–95. http://dx.doi.org/10.24033/bsmf.2206.

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Bhowmik, Debashis, Dipendu Maity, and Eduardo Brandani Da Silva. "Surface codes and color codes associated with non-orientable surfaces." Quantum Information and Computation 21, no. 13&14 (2021): 1135–53. http://dx.doi.org/10.26421/qic21.13-14-4.

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Silva et al. produced quantum codes related to topology and coloring, which are associated with tessellations on the orientable surfaces of genus $\ge 1$ and the non-orientable surfaces of the genus 1. Current work presents an approach to build quantum surface and color codes} on non-orientable surfaces of genus $ \geq 2n+1 $ for $n\geq 1$. We also present several tables of new surface and color codes related to non-orientable surfaces. These codes have the ratios $k/n$ and $d/n$ better than the codes obtained from orientable surfaces.

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NAKAMURA, GOU. "COMPACT NON-ORIENTABLE SURFACES OF GENUS 5 WITH EXTREMAL METRIC DISCS." Glasgow Mathematical Journal 54, no. 2 (2011): 273–81. http://dx.doi.org/10.1017/s0017089511000589.

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AbstractA compact hyperbolic surface of genus g is called an extremal surface if it admits an extremal disc, a disc of the largest radius determined by g. Our problem is to find how many extremal discs are embedded in non-orientable extremal surfaces. It is known that non-orientable extremal surfaces of genus g > 6 contain exactly one extremal disc and that of genus 3 or 4 contain at most two. In the present paper we shall give all the non-orientable extremal surfaces of genus 5, and find the locations of all extremal discs in those surfaces. As a consequence, non-orientable extremal surfac

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Yurttaş, S. Öykü. "Curves on Non-Orientable Surfaces and Crosscap Transpositions." Mathematics 10, no. 9 (2022): 1476. http://dx.doi.org/10.3390/math10091476.

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Let Ng,n be a non-orientable surface of genus g with n punctures and one boundary component. In this paper, we describe multicurves in Ng,n making use of generalized Dynnikov coordinates, and give explicit formulae for the action of crosscap transpositions and their inverses on the set of multicurves in Ng,n in terms of generalized Dynnikov coordinates. This provides a way to solve on non-orientable surfaces various dynamical and combinatorial problems that arise in the study of mapping class groups and Thurston’s theory of surface homeomorphisms, which were solved only on orientable surfaces

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Sabloff, Joshua. "On a refinement of the non-orientable 4-genus of Torus knots." Proceedings of the American Mathematical Society, Series B 10, no. 22 (2023): 242–51. http://dx.doi.org/10.1090/bproc/166.

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In formulating a non-orientable analogue of the Milnor Conjecture on the 4 4 -genus of torus knots, Batson [Math. Res. Lett. 21 (2014), pp. 423–436] developed an elegant construction that produces a smooth non-orientable spanning surface in B 4 B^4 for a given torus knot in S 3 S^3 . While Lobb [Math. Res. Lett. 26 (2019), pp. 1789] showed that Batson’s surfaces do not always minimize the non-orientable 4 4 -genus, we prove that they do minimize among surfaces that share their normal Euler number. We also determine the possible pairs of normal Euler number and first Betti number for non-orient

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Gastesi, Pablo Arés. "Some results on Teichmüller spaces of Klein surfaces." Glasgow Mathematical Journal 39, no. 1 (1997): 65–76. http://dx.doi.org/10.1017/s001708950003192x.

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The deformation theory of nonorientable surfaces deals with the problem of studying parameter spaces for the different dianalytic structures that a surface can have. It is an extension of the classical theory of Teichmüller spaces of Riemann surfaces, and as such, it is quite rich. In this paper we study some basic properties of the Teichmüller spaces of non-orientable surfaces, whose parallels in the orientable situation are well known. More precisely, we prove an uniformization theorem, similar to the case of Riemann surfaces, which shows that a non-orientable compact surface can be represen

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Nowik, Tahl. "Immersions of non-orientable surfaces." Topology and its Applications 154, no. 9 (2007): 1881–93. http://dx.doi.org/10.1016/j.topol.2007.02.007.

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Maloney, Alexander, and Simon F. Ross. "Holography on non-orientable surfaces." Classical and Quantum Gravity 33, no. 18 (2016): 185006. http://dx.doi.org/10.1088/0264-9381/33/18/185006.

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Goulden, Ian P., Jin Ho Kwak, and Jaeun Lee. "Enumerating branched orientable surface coverings over a non-orientable surface." Discrete Mathematics 303, no. 1-3 (2005): 42–55. http://dx.doi.org/10.1016/j.disc.2003.10.030.

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Dissertations / Theses on the topic "Surfaces non orientables"

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Borianne, Philippe. "Conception d'un modeleur de subdivisions de surfaces orientables ou non orientables, avec ou sans bord." Université Louis Pasteur (Strasbourg) (1971-2008), 1991. http://www.theses.fr/1991STR13104.

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Palesi, Frédéric. "Dynamique sur les espaces de représentations de surfaces non-orientables." Phd thesis, Grenoble 1, 2009. http://www.theses.fr/2009GRE10317.

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Nous considérons l'espace de représentations Hom(Pi,G) d'un groupe de surface Pi dans un groupe de Lie G, et l'espace de modules X(Pi,G) des classes de conjugaison de ces représentations. Le groupe modulaire de la surface sous-jacente agit naturellement sur ces espaces, et cette action possède une dynamique très riche qui dépend du choix du groupe de Lie G, et de la composante connexe de l'espace sur laquelle on se place. Dans cette thèse, nous étudions le cas où S est une surface non-orientable. Dans la première partie, nous étudions les propriétés dynamiques de l'action du groupe modulaire s

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Palesi, Frédéric. "Dynamique sur les espaces de représentations de surfaces non-orientables." Phd thesis, Université Joseph Fourier (Grenoble), 2009. http://tel.archives-ouvertes.fr/tel-00443930.

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Nous considérons l'espace de représentations Hom(Pi,G) d'un groupe de surface Pi dans un groupe de Lie G, et l'espace de modules X(Pi,G) des classes de conjugaison de ces représentations. Le groupe modulaire de la surface sous-jacente agit naturellement sur ces espaces, et cette action possède une dynamique très riche qui dépend du choix du groupe de Lie G, et de la composante connexe de l'espace sur laquelle on se place. Dans cette thèse, nous étudions le cas où S est une surface non-orientable. Dans la première partie, nous étudions les propriétés dynamiques de l'action du groupe modulaire s

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Saint-Criq, Anthony. "Involutions et courbes flexibles réelles sur des surfaces complexes." Electronic Thesis or Diss., Université de Toulouse (2023-....), 2024. http://www.theses.fr/2024TLSES087.

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La première partie du seizième problème de Hilbert traite de la topologie des courbes algébriques réelles régulières dans le plan projectif. Il est bien connu que bon nombre des propriétés topologiques satisfaites par de telles courbes sont également vraies pour la classe plus large des courbes flexibles, introduites par O. Viro en 1984. Le but de cette thèse est d'approfondir les origines topologiques des restrictions sur les courbes réelles, en lien avec le seizième problème de Hilbert. Nous ajoutons une condition naturelle à la définition de courbe flexible, à savoir qu'elles doivent inters

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Wilson, Jonathan Michael. "Cluster structures on triangulated non-orientable surfaces." Thesis, Durham University, 2017. http://etheses.dur.ac.uk/12167/.

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In 2002, Fomin and Zelevinsky introduced a cluster algebra; a dynamical system that has already proved to be ubiquitous within mathematics. In particular, it was shown by Fomin, Shapiro and Thurston that some cluster algebras arise from orientable surfaces. Subsequently, Dupont and Palesi extended this construction to non-orientable surfaces, giving birth to quasi-cluster algebras. The finite type cluster algebras possess the remarkable property of their exchanges graphs being polytopal. We discover that the finite type quasi-cluster algebras enjoy a closely related property, namely, their exc

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Juer, Rosalinda. "1 + 1 dimensional cobordism categories and invertible TQFT for Klein surfaces." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:b9a8fc3b-4abd-49a1-b47c-c33f919a95ef.

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We discuss a method of classifying 2-dimensional invertible topological quantum field theories (TQFTs) whose domain surface categories allow non-orientable cobordisms. These are known as Klein TQFTs. To this end we study the 1+1 dimensional open-closed unoriented cobordism category K, whose objects are compact 1-manifolds and whose morphisms are compact (not necessarily orientable) cobordisms up to homeomorphism. We are able to compute the fundamental group of its classifying space BK and, by way of this result, derive an infinite loop splitting of BK, a classification of functors K → Z, and a

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Books on the topic "Surfaces non orientables"

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Forstneric, Franc, Antonio Alarcon, and Francisco J. Lopez. New Complex Analytic Methods in the Study of Non-Orientable Minimal Surfaces in $ Mathbb {R}^n$. American Mathematical Society, 2020.

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Book chapters on the topic "Surfaces non orientables"

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Marar, Ton. "Non-orientable Surfaces." In A Ludic Journey into Geometric Topology. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-07442-4_6.

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Brézin, Edouard, and Shinobu Hikami. "Non-orientable Surfaces from Lie Algebras." In Random Matrix Theory with an External Source. Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-10-3316-2_9.

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Barza, Ilie, and Dorin Ghisa. "Lie Groups Actions on Non Orientable Klein Surfaces." In Springer Proceedings in Mathematics & Statistics. Springer Singapore, 2020. http://dx.doi.org/10.1007/978-981-15-7775-8_33.

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Wu, Siye. "Quantization of Hitchin’s Moduli Space of a Non-orientable Surface." In Trends in Mathematics. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-31756-4_27.

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Bujalance, Emilio, J. A. Bujalance, G. Gromadzki, and E. Martinez. "The groups of automorphisms of non-orientable hyperelliptic klein surfaces without boundary." In Groups — Korea 1988. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0086238.

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Kochol, Martin. "3-Regular Non 3-Edge-Colorable Graphs with Polyhedral Embeddings in Orientable Surfaces." In Graph Drawing. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-00219-9_31.

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"Non-orientable Surfaces." In How Surfaces Intersect in Space. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789812796219_0002.

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"Non-orientable Surfaces." In How Surfaces Intersect in Space. WORLD SCIENTIFIC, 1995. http://dx.doi.org/10.1142/9789812796400_0002.

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Beineke, Lowell W. "Topology." In Graph Connections. Oxford University PressOxford, 1997. http://dx.doi.org/10.1093/oso/9780198514978.003.0011.

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Abstract The primary focus of this chapter involves putting graphs on surfaces. Questions that we discuss include the following. Which graphs are planar; that is, which graphs can be drawn in the plane without any edges crossing? If a graph is not planar, what is the smallest number of crossings in any drawing of it? How many planar graphs are needed to form a given graph? In what surfaces can a non-planar graph be embedded? There are many links between graph theory and topology, but the strongest is that of drawings and embeddings of graphs on surfaces. Our survey of this area of mathematics

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Earl, Richard. "2. Making surfaces." In Topology: A Very Short Introduction. Oxford University Press, 2019. http://dx.doi.org/10.1093/actrade/9780198832683.003.0002.

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‘Making surfaces’ considers the shape of surfaces and discusses the work of some of the early topologists, Möbius, Klein, and Riemann. It introduces the torus shape and shows how its Euler number can be calculated along with that of a sphere. It discusses closed surfaces—ones without a boundary—and how they can be divided up into vertices, edges, and faces. It then introduces one-sided surfaces such as the Möbius strip and Klein bottle, which are examples of non-orientable surfaces. The Euler number goes a long way to separating out different surfaces, with the only missing ingredient in the c

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Conference papers on the topic "Surfaces non orientables"

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Wu, Siye. "Testing $S$-duality with non-orientable surfaces." In The 39th International Conference on High Energy Physics. Sissa Medialab, 2019. http://dx.doi.org/10.22323/1.340.0505.

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Izquierdo, M., and D. Singerman. "On the fixed-point set of automorphisms of non-orientable surfaces without boundary." In Conference in honour of David Epstein's 60th birthday. Mathematical Sciences Publishers, 1998. http://dx.doi.org/10.2140/gtm.1998.1.295.

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Kutz, Martin. "Computing shortest non-trivial cycles on orientable surfaces of bounded genus in almost linear time." In the twenty-second annual symposium. ACM Press, 2006. http://dx.doi.org/10.1145/1137856.1137919.

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