Flops of any length, Gopakumar-Vafa invariants and 5d Higgs branches

[1]  A. Sangiovanni,et al.  Higgs Branches of rank-0 5d theories from M-theory on (Aj, Al) and (Ak, Dn) singularities , 2021, Journal of High Energy Physics.

[2]  A. Sangiovanni,et al.  Higgs branches of 5d rank-zero theories from geometry , 2021, Journal of High Energy Physics.

[3]  Andr'es Collinucci,et al.  Genus zero Gopakumar-Vafa invariants from open strings , 2021, Journal of High Energy Physics.

[4]  D. Morrison,et al.  High electric charges in M-theory from quiver varieties , 2019, Journal of High Energy Physics.

[5]  J. Karmazyn The length classification of threefold flops via noncommutative algebras , 2017, Advances in Mathematics.

[6]  M. Fazzi,et al.  Geometric engineering on flops of length two , 2018, 1802.00813.

[7]  M. Wemyss,et al.  Gopakumar–Vafa Invariants Do Not Determine Flops , 2017, 1707.01150.

[8]  Thomas Deppisch,et al.  E6Tensors: A Mathematica package for E6 Tensors , 2016, Comput. Phys. Commun..

[9]  S. Yau,et al.  4d N = 2 SCFT and singularity theory Part I: Classification , 2015, 1510.01324.

[10]  F. Piazza,et al.  A simple E8 construction , 2012, 1207.3623.

[11]  C. Vafa,et al.  T-branes and monodromy , 2010, 1010.5780.

[12]  F. Piazza,et al.  $E_7$ groups from octonionic magic square , 2010, 1007.4758.

[13]  E. Looijenga Higher dimensional complex geometry , 2007 .

[14]  C. Curto,et al.  Threefold flops via matrix factorization , 2006, math/0611014.

[15]  S. Katz,et al.  Geometric Transitions and N=1 Quiver Theories , 2001, hep-th/0108120.

[16]  E. Witten,et al.  CFT's from Calabi–Yau four-folds , 1999, hep-th/9906070.

[17]  C. Vafa,et al.  BPS Structure of Argyres-Douglas Superconformal Theories , 1999, hep-th/9910182.

[18]  R. Gopakumar,et al.  On the Gauge Theory/Geometry Correspondence , 1998, hep-th/9811131.

[19]  R. Gopakumar,et al.  M-Theory and Topological Strings--II , 1998, hep-th/9812127.

[20]  W. Mcgovern Nilpotent Orbits In Semisimple Lie Algebra : An Introduction , 1993 .

[21]  S. Katz,et al.  Gorenstein Threefold Singularities with Small Resolutions via Invariant Theory for Weyl Groups , 1992, alg-geom/9202002.

[22]  S. Okubo,et al.  General indices of representations and Casimir invariants , 1984 .