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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.
This page is now obsolete, the most recent version of the files below can be found on Git.
- 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)