Instantons and multibananas: Relating elliptic genus and cohomological Donaldson-Thomas theory

Fuente: arXiv
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Autore principale: Leigh, Oliver
Natura: Preprint
Pubblicazione: 2024
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author Leigh, Oliver
author_facet Leigh, Oliver
contents In this article the cohomological Donaldson-Thomas theory of local multibanana threefolds is computed using Descombes' hyperbolic localisation formula. The resulting expression is precisely given by the elliptic genus of the moduli space of framed instanton sheaves. As part of the proof, an infinite-wedge-space trace formula is computed for the elliptic genus of the moduli space of framed instanton sheaves.
format Preprint
id arxiv_https___arxiv_org_abs_2404_16018
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Instantons and multibananas: Relating elliptic genus and cohomological Donaldson-Thomas theory
Leigh, Oliver
Algebraic Geometry
14N35, 14J32
In this article the cohomological Donaldson-Thomas theory of local multibanana threefolds is computed using Descombes' hyperbolic localisation formula. The resulting expression is precisely given by the elliptic genus of the moduli space of framed instanton sheaves. As part of the proof, an infinite-wedge-space trace formula is computed for the elliptic genus of the moduli space of framed instanton sheaves.
title Instantons and multibananas: Relating elliptic genus and cohomological Donaldson-Thomas theory
topic Algebraic Geometry
14N35, 14J32
url https://arxiv.org/abs/2404.16018