Results 1 to 10 of about 311 (24)

Bourgin-Yang versions of the Borsuk-Ulam theorem for $p$-toral groups [PDF]

open access: yes, 2016
Let $V$ and $W$ be orthogonal representations of $G$ with $V^G= W^G=\{0\}$. Let $S(V )$ be the sphere of $V$ and $f : S(V ) \to W$ be a $G$-equivariant mapping. We give an estimate for the dimension of the set $Z_f=f^{-1}\{0\}$ in terms of $ \dim V$ and $
de Mattos, Denise   +2 more
core   +1 more source

Spectrum of equivariant cohomology as a fixed point scheme [PDF]

open access: yesÉpijournal de Géométrie Algébrique
An action of a complex reductive group $\mathrm G$ on a smooth projective variety $X$ is regular when all regular unipotent elements in $\mathrm G$ act with finitely many fixed points.
Tamás Hausel, Kamil Rychlewicz
doaj   +1 more source

Steenrod squares on conjugation spaces [PDF]

open access: yes, 2005
We prove that the coefficients of the so-called conjugation equation for conjugation spaces in the sense of Hausmann-Holm-Puppe are completely determined by Steenrod squares. This generalises a result of V.A.
Franz, Matthias, Puppe, Volker
core   +3 more sources

Reflexive and dihedral (co)homology of a pre‐additive category

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 7, Page 429-438, 2001., 2001
The group dihedral homology of an algebra over a field with characteristic zero was introduced by Tsygan (1983). The dihedral homology and cohomology of an algebra with involution over commutative ring with identity, associated with the small category, were studied by Krasauskas et al. (1988), Loday (1987), and Lodder (1993).
Yasien Gh. Gouda
wiley   +1 more source

Graded geometry in gauge theories and beyond [PDF]

open access: yes, 2014
We study some graded geometric constructions appearing naturally in the context of gauge theories. Inspired by a known relation of gauging with equivariant cohomology we generalize the latter notion to the case of arbitrary Q-manifolds introducing thus ...
Salnikov, Vladimir
core   +3 more sources

The relative dihedral homology of involutive algebras

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 22, Issue 4, Page 807-815, 1999., 1999
Let f : A → B be a homomorphism of involutive algebras A, B. The purpose of this paper is to define a free involutive algebra resolution of algebra B over f and use it to define and study the relative dihedral homology.
Y. Gh. Gouda
wiley   +1 more source

Adams and Steenrod operators in dihedral homology

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 341-346, 1998., 1996
In this article, we define the Adam′s and Steenrod′s operators in the dihedral homology.
Y. Ch. Gouda
wiley   +1 more source

The weighted Laplacians on real and complex metric measure spaces

open access: yes, 2014
In this short note we compare the weighted Laplacians on real and complex (K\"ahler) metric measure spaces. In the compact case K\"ahler metric measure spaces are considered on Fano manifolds for the study of K\"ahler-Einstein metrics while real metric ...
Futaki, Akito
core   +1 more source

Infinite flags and Schubert polynomials

open access: yesForum of Mathematics, Sigma
We study Schubert polynomials using geometry of infinite-dimensional flag varieties and degeneracy loci. Applications include Graham-positivity of coefficients appearing in equivariant coproduct formulas and expansions of back-stable and enriched ...
David Anderson
doaj   +1 more source

Interactions of strings and equivariant homology theories

open access: yes, 2009
We introduce the notion of the space of parallel strings with partially summable labels, which can be viewed as a geometrically constructed group completion of the space of particles with labels.
Okuyama, Shingo, Shimakawa, Kazuhisa
core   +1 more source

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