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Boris
Pioline
Directeur de recherches au CNRS Laboratoire de Physique Théorique et Hautes Energies (LPTHE), Université Pierre et Marie Curie - Paris 6 and CNRS, Tour 13-14, 4ème étage, Boîte 126, 4 place Jussieu, 75252 Paris FRANCE Office: Couloir 13-14, 5ème étage, bureau 516 ; Tel: (33) 1 44 27 74 30 - Fax: (33) 1 44 27 70 88 |
Based on joint work with Jan Manschot and Ashoke Sen, and subsequent work with other authors, I have developed a Mathematica package for computing the Poincaré-Laurent polynomial of the moduli space of stable representations of quivers. The first version of the code was released along with [1302.5498] on arXiv. Since then it has been expanded in many directions, including the Reineke formula for quivers without relations, the Jeffrey-Kirwan residue formula, various versions of the flow tree formula, and most recently the Quiver Yangian algorithm for computing non-commutative DT invariants and various tools for dealing with brane tilings. See the documentation for more details. The files below are maintained in a private Git repository, let me know if you want to gain access to it.
- CoulombHiggs.m
: mathematica package v6.2
- CoulombHiggs.pdf
: documentation
- CoulombHiggsDemo.m : simple demonstration
- Kronecker.nb : example of Kronecker quiver (two-node quiver with m arrows, relevant for wall-crossing)
- Threenode.nb: example of 3-node quiver with oriented loop
- Multinode.nb: examples of 4-node, 5-node and cyclic quivers considerered in [1207.2230]
- CoulombIndexCheck.nb : numerical checks of the recursive formula for the Coulomb index
- GeneralizedMutations.nb: checks of the generalized mutation conjecture in [1309.7053]
- FlowTreeForQuivers.nb: example of computations of tree indices and of the flow tree formula developped in [1804.06928]
- JeffreyKirwanDemo.nb: example of Jeffrey-Kirwan index computations for quivers and non-quivers, used in [1907.01354]
- QuiverYangianDemo: example of computations of NCDT invariants for brane tilings, used in [2012.14358]
- ExtendedCoulombIndexDemo: example of computations of scaling indices, used in [2103.03205]
- CoulombHiggsv60.tar.gz:
tar of all files above (v6.0 only)