Integral generalized equivariant cohomologies of weighted Grassmann orbifolds

Koushik Brahma; Soumen Sarkar

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arXiv · 2104.10374

Integral generalized equivariant cohomologies of weighted Grassmann orbifolds

Koushik Brahma·Soumen Sarkar

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Abstract

We introduce a new definition of weighted Grassmann orbifolds. We study their several invariant $q$-cell structures and the orbifold singularities on these $q$-cells. We discuss when the integral cohomology of a weighted Grassmann orbifold has no $p$-torsion. We compute the equivariant $K$-theory ring of weighted Grassmann orbifolds with rational coefficients. We introduce divisive weighted Grassmann orbifolds and show that they have invariant cell structures. We calculate the equivariant cohomology ring, equivariant $K$-theory ring and equivariant cobordism ring of a divisive weighted Grassmann orbifold with integer coefficients. We discuss how to compute the weighted structure constants for the integral equivariant cohomology ring of a divisive weighted Grassmann orbifold.

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BibTeX RIS

Koushik Brahma, Soumen Sarkar. 2021-04-21. Integral generalized equivariant cohomologies of weighted Grassmann orbifolds. https://arxiv.org/abs/2104.10374

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