Results 11 to 20 of about 311 (24)

Chern classes in equivariant bordism

Forum of Mathematics, Sigma
We introduce Chern classes in $U(m)$ -equivariant homotopical bordism that refine the Conner–Floyd–Chern classes in the $\mathbf {MU}$ -cohomology of $B U(m)$ .
Stefan Schwede
doaj   +1 more source

Topological structures of large-scale interacting systems via uniform functions and forms

Forum of Mathematics, Sigma
In this article, we investigate the topological structure of large-scale interacting systems on infinite graphs, by constructing a suitable cohomology which we call the uniform cohomology.
Kenichi Bannai, Yukio Kametani, Makiko Sasada   +2 more
doaj   +1 more source

Equivariant holonomy of U(1)-bundles

, 2019
We define the equivariant holonomy of an invariant connection on a principal U(1)-bundle. The properties of the ordinary holonomy are generalized to the equivariant setting.
Perez, Roberto Ferreiro
core   +1 more source

Complex cobordism of involutions

, 2001
We give a simple and explicit presentation of the Z/2-equivariant complex cobordism ring.Comment: Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol5/paper11.abs ...
Greenlees, Kriz, Lewis, N P Strickland, Sinha   +4 more
core   +1 more source

Billey's formula in combinatorics, geometry, and topology [PDF]

, 2013
In this expository paper we describe a powerful combinatorial formula and its implications in geometry, topology, and algebra. This formula first appeared in the appendix of a book by Andersen, Jantzen, and Soergel.
Tymoczko, Julianna S.
core   +2 more sources

Uniqueness and examples of compact toric Sasaki-Einstein metrics

, 2007
In [11] it was proved that, given a compact toric Sasaki manifold of positive basic first Chern class and trivial first Chern class of the contact bundle, one can find a deformed Sasaki structure on which a Sasaki-Einstein metric exists.
Akito Futaki, C.P. Boyer, C.P. Boyer, D. Guan, D. Martelli, D. Martelli, E. Lerman, E. Lerman, Hajime Ono, J.P. Gauntlett, Koji Cho, S. Nishikawa, S. Semmes, T. Mabuchi, T. Oota, X.X. Chen   +15 more
core   +2 more sources

Invariants under deformation of the actions of topological groups

, 2016
Let $\varphi$ and $\varphi'$ be two homotopic actions of the topological group $G$ on the topological space $X$. To an object $A$ in the $G$-equivariant derived category $D_{\varphi}(X)$ of $X$ relative to the action $\varphi$ we associate an object $A'$
Viña, Andrés
core   +1 more source

Symmetric products of equivariantly formal spaces

, 2017
Let X be a CW complex with a continuous action of a topological group G. We show that if X is equivariantly formal for singular cohomology with coefficients in a field, then so are all symmetric products of X and in fact all its Gamma-products.
Franz, Matthias
core   +1 more source

A note on the equivariant formal group law of the equivariant complex cobordism ring [PDF]

, 2015
For a finite abelian group $G$, we compute the $G$-equivariant formal group law corresponding to the $G$-equivariant complex cobordism spectrum with its canonical complex orientation.Comment: 11 pages ...
Abram, William C.
core  

A Functor Converting Equivariant Homology to Homotopy

, 2007
In this paper, we prove an equivariant version of the classical Dold-Thom theorem. Associated to a finite group, a CW-complex on which this group acts and a covariant coefficient system in the sense of Bredon, we functorially construct a topological ...
Nie, Zhaohu
core   +2 more sources