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pro vyhledávání: '"Darby, Alastair"'
Inspired by the ideas and techniques used in the study of cluster algebras we construct a new class of algebras, called bistellar cluster algebras, from closed oriented triangulated even-dimensional manifolds by performing middle-dimensional bistella
Externí odkaz:
http://arxiv.org/abs/2405.09100
Publikováno v:
Algebraic Topology and Related Topics, Trends in Mathematics (2019) 67--85
The main objects of this paper are torus orbifolds that have exactly two fixed points. We study the equivariant topological type of these orbifolds and consider when we can use the results of the paper [DKS] (arXiv:1809.03678) to compute its integral
Externí odkaz:
http://arxiv.org/abs/1809.04402
We calculate the integral equivariant cohomology, in terms of generators and relations, of locally standard torus orbifolds whose odd degree ordinary cohomology vanishes. We begin by studying GKM-orbifolds, which are more general, before specialising
Externí odkaz:
http://arxiv.org/abs/1809.03678
Autor:
Darby, Alastair Edward
Our aim is to study the role of omnioriented quasitoric manifolds in equivariant complex bordism. These are a well-behaved class of even-dimensional smooth closed manifolds with the action of a half-dimensional compact torus and an equivariant stably
Externí odkaz:
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.574305
Autor:
Darby, Alastair
We restrict geometric tangential equivariant complex $T^n$-bordism to torus manifolds and provide a complete combinatorial description of the appropriate non-commutative ring. We discover, using equivariant $K$-theory characteristic numbers, that the
Externí odkaz:
http://arxiv.org/abs/1409.2720
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Akademický článek
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Autor:
Stephen Theriault
These notes describe some of the homotopy theory surrounding Davis-Januszkiewicz spaces, moment-angle complexes and their generalizations to polyhedral products. These spaces are defined by gluing together prod- ucts formed from pairs of spaces (X, A
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fec11b56b3a2da317a717d9e8471344
https://doi.org/10.1142/9789813226579_0001
https://doi.org/10.1142/9789813226579_0001