Donaldson-Thomas invariants for 3-Calabi-Yau varieties of dihedral quotient type
Sergey Mozgovoy, Markus Reineke
TL;DR
This paper computes motivic Donaldson-Thomas invariants for certain 3-Calabi-Yau varieties obtained from dihedral group quotients, linking geometric invariants to affine type D root systems through representation theory.
Contribution
It introduces a method to calculate motivic DT invariants for crepant resolutions of dihedral quotient singularities using affine type D quivers and double dimensional reduction.
Findings
Explicit formulas for motivic DT invariants in dihedral quotient cases
Connection established between geometric invariants and affine type D root systems
Application of representation theory to compute invariants
Abstract
We compute motivic Donaldson-Thomas invariants for crepant resolutions of quotients of affine three-space by even dihedral groups in terms of an affine type D root system, using double dimensional reduction and the representation theory of affine type D quivers.
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