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This article is available for purchase or by subscription. See below.
Abstract
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Let
be the three-dimensional
torus acting on
and
be the fixed locus of the corresponding action on the moduli space of rank
framed instanton
sheaves on
.
We prove that
consist only of non-locally-free instanton sheaves whose double dual is the trivial bundle
. Moreover,
we relate these instantons to Pandharipande–Thomas stable pairs and give a classification
of their support. This allows us to compute a lower bound on the number of components
of
.
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Keywords
instantons, fixed locus, moduli spaces
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Mathematical Subject Classification 2010
Primary: 14F05, 14J10
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Milestones
Received: 17 August 2018
Revised: 10 October 2019
Accepted: 6 June 2020
Published: 3 December 2020
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