Equivariant K-theory of quasitoric manifolds

Let X ( Q , Λ ) be a quasitoric manifold associated to a simple convex polytope Q and characteristic function Λ . Let T ≅ ( S 1 ) n denote the compact n -torus acting on X = X ( Q , Λ ) . The main aim of this article is to give a presentation of the T -equivariant K -ring of X , as a Stanley–Reisner...

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Bibliographic Details
Published in:	Proceedings of the Indian Academy of Sciences. Mathematical sciences Vol. 129; no. 5; pp. 1 - 13
Main Authors:	Dasgupta, Jyoti, Khan, Bivas, Uma, V
Format:	Journal Article
Language:	English
Published:	New Delhi Springer India 01-11-2019 Springer Nature B.V
Subjects:	Characteristic functions Manifolds Mathematics Mathematics and Statistics Toruses Quasitoric manifolds 19L47 theoretic face ring 55N15 simple convex polytope
Online Access:	Get full text
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Summary:	Let X ( Q , Λ ) be a quasitoric manifold associated to a simple convex polytope Q and characteristic function Λ . Let T ≅ ( S 1 ) n denote the compact n -torus acting on X = X ( Q , Λ ) . The main aim of this article is to give a presentation of the T -equivariant K -ring of X , as a Stanley–Reisner ring over K ∗ ( p t ) . We also derive the presentation for the ordinary K -ring of X .
ISSN:	0253-4142 0973-7685
DOI:	10.1007/s12044-019-0501-0