Gopakumar-Vafa invariants do not determine flops

DOI10.1007/s00220-017-3038-zzbMath1423.14311arXiv1707.01150OpenAlexW3102845713WikidataQ59612655 ScholiaQ59612655MaRDI QIDQ1663624

Michael Wemyss, Gavin D. Brown

Publication date: 21 August 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.01150

Mathematics Subject Classification ID

Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects) (14N35) Rational and birational maps (14E05)

Related Items

Flops of any \textit{length}, Gopakumar-Vafa invariants and 5d Higgs branches ⋮ 5d Higgs branches from M-theory on quasi-homogeneous cDV threefold singularities ⋮ A lockdown survey on cDV singularities ⋮ On the finiteness of the derived equivalence classes of some stable endomorphism rings ⋮ Noncommutative enhancements of contractions ⋮ The length classification of threefold flops via noncommutative algebras ⋮ Discreteness of silting objects and t-structures in triangulated categories ⋮ Genus zero Gopakumar-Vafa invariants from open strings ⋮ Quasi-homogeneity of potentials ⋮ Non-commutative deformations of perverse coherent sheaves and rational curves

Uses Software

• Macaulay2
• Magma
• SINGULAR

Cites Work

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• Quivers from matrix factorizations
• Noncommutative deformations and flops
• Non-commutative width and Gopakumar-Vafa invariants
• Genus zero Gopakumar-Vafa invariants of contractible curves
• The Magma algebra system. I: The user language
• Flops and derived categories.
• Flops and clusters in the homological minimal model programme
• Flops and equivalences of derived categories for threefolds with only terminal Gorenstein singularities.
• General hyperplane sections of nonsingular flops in dimension 3
• Calabi-Yau algebras and superpotentials
• 13/2 ways of counting curves
• On a certain generalization of spherical twists
• Flops