A filtration on equivariant Borel-Moore homology

Download

index.pdf

Date

2019-07-04

Author

Bingham, Aram
Can, Mahir Bilen
Ozan, Yıldıray

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

235
views

92
downloads

Let G / H be a homogeneous variety and let X be a G-equivariant embedding of G / H such that the number of G-orbits in X is finite. We show that the equivariant Borel-Moore homology of X has a filtration with associated graded module the direct sum of the equivariant Borel-Moore homologies of the G-orbits. If T is a maximal torus of G such that each G-orbit has a T-fixed point, then the equivariant filtration descends to give a filtration on the ordinary Borel-Moore homology of X. We apply our findings to certain wonderful compactifications as well as to double flag varieties.

URI

https://hdl.handle.net/11511/32907

Journal

FORUM OF MATHEMATICS SIGMA

DOI

https://doi.org/10.1017/fms.2019.15

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A generalized fixed point free automorphism of prime power order Ercan, Gülin (2012-06-01) Let G be a finite group and alpha be an automorphism of G of order p(n) for an odd prime p. Suppose that alpha acts fixed point freely on every alpha-invariant p'-section of G, and acts trivially or exceptionally on every elementary abelian alpha-invariant p-section of G. It is proved that G is a solvable p-nilpotent group of nilpotent length at most n + 1, and this bound is best possible.
An obstruction to finding algebraic models for smooth manifolds with prescribed algebraic submanifolds CELIKTEN, A; Ozan, Yıldıray (2001-03-01) Let N ⊆ M be a pair of closed smooth manifolds and L an algebraic model for the submanifold N. In this paper, we will give an obstruction to finding an algebraic model X of M so that the submanifold N corresponds in X to an algebraic subvariety isomorphic to L.
RELATIVE GROUP COHOMOLOGY AND THE ORBIT CATEGORY Pamuk, Semra (2014-07-03) Let G be a finite group and F be a family of subgroups of G closed under conjugation and taking subgroups. We consider the question whether there exists a periodic relative F-projective resolution for Z when F is the family of all subgroups HG with rkHrkG-1. We answer this question negatively by calculating the relative group cohomology FH*(G, ?(2)) where G = Z/2xZ/2 and F is the family of cyclic subgroups of G. To do this calculation we first observe that the relative group cohomology FH*(G, M) can be calc...
A formula for the joint local spectral radius Emel'yanov, EY; Ercan, Z (American Mathematical Society (AMS), 2004-01-01) We give a formula for the joint local spectral radius of a bounded subset of bounded linear operators on a Banach space X in terms of the dual of X.
A Fourier-Bessel expansion for solving radial Schrodinger equation in two dimensions Taşeli, Hasan (Wiley, 1997-02-15) The spectrum of the two-dimensional Schrodinger equation for polynomial oscillators bounded by infinitely high potentials, where the eigenvalue problem is defined on a finite interval r is an element of [0, L), is variationally studied. The wave function is expanded into a Fourier-Bessel series, and matrix elements in terms of integrals involving Bessel functions are evaluated analytically. Numerical results presented accurate to 30 digits show that, by the time L approaches a critical value, the tow-lying ...

Citation Formats

A. Bingham, M. B. Can, and Y. Ozan, “A filtration on equivariant Borel-Moore homology,” FORUM OF MATHEMATICS SIGMA, pp. 0–0, 2019, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/32907.