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Mathematics > Algebraic Geometry

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

Authors: Oliver Leigh
Abstract: 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.
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14N35, 14J32
Cite as: arXiv:2404.16018 [math.AG]
  (or arXiv:2404.16018v1 [math.AG] for this version)

Submission history

From: Oliver Leigh [view email]
[v1] Wed, 24 Apr 2024 17:51:26 GMT (89kb,D)

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