A filtration on equivariant Borel-Moore homology

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2019-07-04

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Bingham, Aram
Can, Mahir Bilen
Ozan, Yıldıray

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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

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Department of Mathematics, Article

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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.