On Integral Cohomology of Certain Orbifolds

Anthony Bahri; Dietrich Notbohm; Soumen Sarkar; Jongbaek Song

doi:10.1093/imrn/rny283

On Integral Cohomology of Certain Orbifolds

Anthony Bahri, Dietrich Notbohm, Soumen Sarkar^*, Jongbaek Song

^*Corresponding author for this work

Mathematics

Research output: Contribution to Journal › Article › Academic › peer-review

Abstract

The CW-complex structure of certain spaces, such as effective orbifolds, can be too complicated for computational purposes. In this paper we develop the concept of $\mathbf{q}$-CW complex structure on an orbifold, to detect torsion in its integral cohomology. The main result can be applied to well-known classes of orbifolds or algebraic varieties having orbifold singularities, such as toric orbifolds, simplicial toric varieties, torus orbifolds, and weighted Grassmannians.

Original language	English
Pages (from-to)	4140-4168
Number of pages	29
Journal	International Mathematics Research Notices
Volume	2021
Issue number	6
Early online date	10 Jan 2019
DOIs	https://doi.org/10.1093/imrn/rny283
Publication status	Published - Mar 2021

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© 2019 The Author(s) 2019. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].

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On Integral Cohomology of Certain Orbifolds

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