Relevant bibliographies by topics / Basic cohomology

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Basic cohomology'

Author: Grafiati
Published: 24 April 2022

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Journal articles on the topic "Basic cohomology"

1

Goertsches, Oliver, and Dirk Töben. "Equivariant basic cohomology of Riemannian foliations." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 745 (2018): 1–40. http://dx.doi.org/10.1515/crelle-2015-0102.

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Abstract The basic cohomology of a complete Riemannian foliation with all leaves closed is the cohomology of the leaf space. In this paper we introduce various methods to compute the basic cohomology in the presence of both closed and non-closed leaves in the simply-connected case (or more generally for Killing foliations): We show that the total basic Betti number of the union C of the closed leaves is smaller than or equal to the total basic Betti number of the foliated manifold, and we give sufficient conditions for equality. If there is a basic Morse–Bott function with critical set equal t
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Haddou, H. Ait. "Foliations and Lichnerowicz basic cohomology." International Mathematical Forum 2 (2007): 2437–46. http://dx.doi.org/10.12988/imf.2007.07214.

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Dubois-Violette, Michel, and Thierry Masson. "Basic cohomology of associative algebras." Journal of Pure and Applied Algebra 114, no. 1 (1996): 39–50. http://dx.doi.org/10.1016/0022-4049(95)00166-2.

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Pang, Peter Y. "Holonomy and basic cohomology of foliations." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 60, no. 3 (1996): 287–300. http://dx.doi.org/10.1017/s1446788700037812.

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AbstractIn this paper, we consider the relationship between the cohomologies of the basic differential forms and the transverse holonomy groupoid of a foliation. Applications to minimal models are given.
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Ornea, Liviu, and Vladimir Slesar. "Basic Morse–Novikov cohomology for foliations." Mathematische Zeitschrift 284, no. 1-2 (2016): 469–89. http://dx.doi.org/10.1007/s00209-016-1662-5.

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Wolak, Robert A. "Basic Cohomology for Singular Riemannian Foliations." Monatshefte f�r Mathematik 128, no. 2 (1999): 159–63. http://dx.doi.org/10.1007/s006050050053.

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Saralegi-Aranguren, M., and R. Wolak. "Basic intersection cohomology of conical fibrations." Mathematical Notes 77, no. 1-2 (2005): 213–31. http://dx.doi.org/10.1007/s11006-005-0022-2.

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Zhang, Pu. "Hochschild cohomology of truncated basic cycle." Science in China Series A: Mathematics 40, no. 12 (1997): 1272–78. http://dx.doi.org/10.1007/bf02876372.

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Liu, Wenran. "Chern characters in equivariant basic cohomology." Comptes Rendus. Mathématique 359, no. 1 (2021): 1–5. http://dx.doi.org/10.5802/crmath.14.

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Blasi, A., and R. Collina. "Basic cohomology of topological quantum field theories." Physics Letters B 222, no. 3-4 (1989): 419–24. http://dx.doi.org/10.1016/0370-2693(89)90336-5.

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Dissertations / Theses on the topic "Basic cohomology"

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Liu, Wenran. "Caractère de Chern en cohomologie basique équivariante." Thesis, Montpellier, 2017. http://www.theses.fr/2017MONTS026/document.

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Depuis 1980, il est un problème ouvert de donner des formules cohomologiques pour l'indice basique d'un opérateur différentiel basique transversalement elliptique sur un fibré vectoriel au dessus d'une variété feuilletée. Dans les années 1990, El Kacimi-Alaoui a proposé d'utiliser la théorie de Molino pour étudier cette indice. Molino a montré qu'à tout feuilletage Riemannien transversalement orienté, nous pouvons associer une variété, appelée variété basique, qui est munie d'une action du groupe orthogonal, El Kacimi-Alaoui a montré comment associer à l'opérateur basique transversalement elli
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Lemay, Joel. "Geometric Realizations of the Basic Representation of the Affine General Linear Lie Algebra." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/32866.

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The realizations of the basic representation of the affine general linear Lie algebra on (r x r) matrices are well-known to be parametrized by partitions of r and have an explicit description in terms of vertex operators on the bosonic/fermionic Fock space. In this thesis, we give a geometric interpretation of these realizations in terms of geometric operators acting on the equivariant cohomology of certain Nakajima quiver varieties.
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Weber, Patrick. "Cohomology groups on hypercomplex manifolds and Seiberg-Witten equations on Riemannian foliations." Doctoral thesis, Universite Libre de Bruxelles, 2017. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/252914.

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The thesis comprises two parts. In the first part, we investigate various cohomological aspects of hypercomplex manifolds and analyse the existence of special metrics. In the second part, we define Seiberg-Witten equations on the leaf space of manifolds which admit a Riemannian foliation of codimension four.<br>Doctorat en Sciences<br>info:eu-repo/semantics/nonPublished
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Mbirika, Abukuse III. "Analysis of symmetric function ideals: towards a combinatorial description of the cohomology ring of Hessenberg varieties." Diss., University of Iowa, 2010. https://ir.uiowa.edu/etd/708.

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Symmetric functions arise in many areas of mathematics including combinatorics, topology and algebraic geometry. Using ideals of symmetric functions, we tie these three branches together. This thesis generalizes work of Garsia and Procesi in 1992 that gave a quotient ring presentation for the cohomology ring of Springer varieties. Let R be the polynomial ring Ζ[x1,…,xn]. We present two different ideals in R. Both are parametrized by a Hessenberg function h, namely a nondecreasing function that satisfies h(i) ≥ i for all i. The first ideal, which we call Ih, is generated by modified elementary
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Raźny, Paweł. "The basic dd^{J}-lemma." Praca doktorska, 2019. https://ruj.uj.edu.pl/xmlui/handle/item/81931.

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Su, Changjian. "Stable Basis and Quantum Cohomology of Cotangent Bundles of Flag Varieties." Thesis, 2017. https://doi.org/10.7916/D84J0MGH.

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The stable envelope for symplectic resolutions, constructed by Maulik and Okounkov, is a key ingredient in their work on quantum cohomology and quantum K-theory of Nakajima quiver varieties. In this thesis, we study the various aspects of the cohomological stable basis for the cotangent bundle of flag varieties. We compute its localizations, use it to calculate the quantum cohomology of the cotangent bundles, and relate it to the Chern--Schwartz--MacPherson class of Schubert cells in the flag variety.
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Härtel, Johannes. "Reduktionssysteme zur Berechnung einer Auflösung der orthogonalen freien Quantengruppen Ao(n)." Doctoral thesis, 2008. http://hdl.handle.net/11858/00-1735-0000-0006-B3A7-7.

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Books on the topic "Basic cohomology"

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Puta, M. A remark on the basic cohomology of de rham currents. Univ. din Timisoara, 1986.

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service), SpringerLink (Online, ed. Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians. Vieweg+Teubner Verlag / Springer Fachmedien Wiesbaden GmbH, Wiesbaden, 2011.

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Flannery, D. L. (Dane Laurence), 1965-, ed. Algebraic design theory. American Mathematical Society, 2011.

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Husemöller, Dale, S. Echterhoff, B. Krötz, Michael Joachim, Branislav Jurco, and Martin Schottenloher. Basic Bundle Theory and K-Cohomology Invariants. Springer, 2010.

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Basic Bundle Theory and K-Cohomology Invariants. Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-74956-1.

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Michael Joachim,Branislav Jurco,Dale Husem Ller. Basic Bundle Theory and K-Cohomology Invariants. Springer, 2008.

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Dale, Husemöller, Echterhoff Siegfried 1960-, Fredenhagen Stefan, and Krötz Bernhard, eds. Basic bundle theory and K-cohomology invariants. Springer, 2008.

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Diederich, Klas, and Günter Harder. Lectures on Algebraic Geometry II: Basic Concepts, Coherent Cohomology, Curves and their Jacobians. Vieweg+Teubner Verlag, 2014.

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Ellis, Graham. An Invitation to Computational Homotopy. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198832973.001.0001.

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This book is an introduction to elementary algebraic topology for students with an interest in computers and computer programming. Its aim is to illustrate how the basics of the subject can be implemented on a computer. The transition from basic theory to practical computation raises a range of non-trivial algorithmic issues and it is hoped that the treatment of these will also appeal to readers already familiar with basic theory who are interested in developing computational aspects. The book covers a subset of standard introductory material on fundamental groups, covering spaces, homology, c
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Cattani, Eduardo, and Phillip Griffiths. Introduction to Kähler Manifolds. Edited by Eduardo Cattani, Fouad El Zein, Phillip A. Griffiths, et al. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691161341.003.0001.

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This chapter provides an introduction to the basic results on the topology of compact Kähler manifolds that underlie and motivate Hodge theory. This chapter consists of five sections which correspond, roughly, to the five lectures in the course given during the Summer School at the International Centre for Theoretical Physics (ICTP). The five topics under discussion are: complex manifolds; differential forms on complex manifolds; symplectic, Hermitian, and Kähler structures; harmonic forms; and the cohomology of compact Kähler manifolds. There are also two appendices. The first collects some r
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Book chapters on the topic "Basic cohomology"

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Wedhorn, Torsten. "Appendix A: Basic Topology." In Manifolds, Sheaves, and Cohomology. Springer Fachmedien Wiesbaden, 2016. http://dx.doi.org/10.1007/978-3-658-10633-1_12.

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Wedhorn, Torsten. "Appendix C: Basic Algebra." In Manifolds, Sheaves, and Cohomology. Springer Fachmedien Wiesbaden, 2016. http://dx.doi.org/10.1007/978-3-658-10633-1_14.

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Adhikari, Mahima Ranjan. "Homology and Cohomology Theories." In Basic Algebraic Topology and its Applications. Springer India, 2016. http://dx.doi.org/10.1007/978-81-322-2843-1_10.

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Adhikari, Mahima Ranjan. "Spectral Homology and Cohomology Theories." In Basic Algebraic Topology and its Applications. Springer India, 2016. http://dx.doi.org/10.1007/978-81-322-2843-1_15.

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Harari, David. "Cohomology of Finite Groups: Basic Properties." In Galois Cohomology and Class Field Theory. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43901-9_1.

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Harari, David. "Basic Facts About Global Fields." In Galois Cohomology and Class Field Theory. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43901-9_12.

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Harari, David. "Basic Facts About Local Fields." In Galois Cohomology and Class Field Theory. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-43901-9_7.

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Adhikari, Mahima Ranjan. "Eilenberg–Steenrod Axioms for Homology and Cohomology Theories." In Basic Algebraic Topology and its Applications. Springer India, 2016. http://dx.doi.org/10.1007/978-81-322-2843-1_12.

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Mescher, Stephan. "Basics on Morse Homology." In Perturbed Gradient Flow Trees and A∞-algebra Structures in Morse Cohomology. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-76584-6_1.

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Jaworowski, Jan. "An additive basis for the cohomology of real Grassmannians." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0084749.

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