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Wall-crossing of the motivic Donaldson-Thomas invariants · Around

2011

Wall-crossing of the motivic Donaldson-Thomas invariants

Nagao, Kentaro

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We study motivic Donaldson-Thomas invariants in the sense of Behrend-Bryan-Szendroi.

A wall-crossing formula under a mutation is proved for a certain class of quivers with potentials.

Built on

M. Herschend and O. Iyama, Selfinjective quivers with potential and 2 2 -representation-finite algebras , arXiv:1006.1917
Original
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Z. Hua, Chern-simons functions on toric Calabi-Yau threefolds and virtual motives , arXiv:1103.1921
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J. Denef and F. Loeser, Motivic igusa zeta functions , J. Algebraic Geom. 7
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Similar

R. P. Thomas, A holomorphic Casson invariant for Calabi-Yau 3 3 -folds, and bundles on K 3 K3 fibrations , J. Differential Geom. 54
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2000
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S. Fomin and A. Zelevinsky, Cluster algebras I: Foundations , J. Amer. Math. Soc. 15
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C. Amiot and S. Oppermann, Cluster equivalence and graded derived equivalence , arXiv:1003.4916
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K. Behrend, J. Bryan, and B. Szendroi, Motivic degree zero Donaldson-Thomas invariants , arXiv:0909.5088v1

Then

H. Derksen, J. Weyman, and A. Zelevinsky, Quivers with potentials and their representations I: Mutations , Selecta Math. 14
2008
Later among the works it cites.
K. Behrend, Donaldson-Thomas invariants via microlocal geometry , Ann. of Math. 170
2009
Later among the works it cites.
A. Iqbal, C. Kozcaz, and C. Vafa, The refined topological vertex , JHEP 10
2009
Later among the works it cites.
T. Dimofte, S. Gukov, and Y. Soibelman, Quantum wall crossing in n = 2 n=2 gauge theories , Lett. Math. Phys. 95
2011
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