On Donaldson-Thomas invariants of threefold stacks and gerbes
Amin Gholampour, Hsian-Hua Tseng
TL;DR
This paper develops Donaldson-Thomas invariants for three-dimensional Calabi-Yau stacks and explores their structure in the context of etale gerbes, extending the theory to more complex geometric objects.
Contribution
It introduces a new construction of Donaldson-Thomas invariants for Calabi-Yau stacks and analyzes their properties for etale gerbes, advancing the understanding of invariants in stacky geometry.
Findings
Constructed DT invariants for Calabi-Yau stacks
Analyzed the structure of invariants for etale gerbes
Extended DT theory to stacky settings
Abstract
We present a construction of Donaldson-Thomas invariants for three-dimensional projective Calabi-Yau Deligne-Mumford stacks. We also study the structure of these invariants for etale gerbes over such stacks.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology