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$G$-theory of root stacks
and equivariant $K\mkern-2mu$-theory
Ajneet Dhillon and Ivan Kobyzev |
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Vol. 4 (2019), No. 2, 151–183
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Abstract |
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Using the description of the category of quasicoherent sheaves on a root stack, we compute the -theory of root stacks via localization methods. We apply our results to the study of equivariant -theory of algebraic varieties under certain conditions. |
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Keywords
root stack, quotient stack, equivariant
$K\mkern-2mu$-theory, parabolic sheaves
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Mathematical Subject Classification 2010
Primary: 14A20, 14L30, 19D10, 19E08
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Milestones
Received: 31 May 2017
Revised: 22 November 2018
Accepted: 10 December 2018
Published: 16 June 2019
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Authors |
| Ajneet Dhillon | |
| Department of Mathematics Middlesex College University of Western Ontario London, ON Canada |
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| Ivan Kobyzev | |
| Department of Pure Mathematics University of Waterloo Waterloo, ON Canada |
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