WALL CROSSING
IHES, November 10-12, 2011
Some literature recommended by
Andrew Neitzke
For now, the best I can suggest is some places to browse through to
get some impression of the main players in the story. One should
NOT start by trying to read these papers from beginning to end.
1) To see the relation between trajectories of quadratic
differentials and special Lagrangian 3-cycles in an appropriate
Calabi-Yau threefold:
Klemm, Albrecht and Lerche, Wolfgang and Mayr, Peter and Vafa, Cumrun
and Warner, Nicholas P. "Self-Dual Strings and N=2 Supersymmetric
Field Theory," Nucl. Phys. B477 (1996) 746-766, hep-th/9604034.
http://arxiv.org/abs/hep-th/9604034
2) To see the wall-crossing formula for counts of special
trajectories of quadratic differentials, and the relation to Hitchin
systems:
Gaiotto, Davide and Moore, Gregory W. and Neitzke, Andrew.
"Wall-crossing, Hitchin Systems, and the WKB Approximation,"
0907.3987. http://arxiv.org/abs/0907.3987
3) To get a general feeling for the notion of "stability condition"
which is somehow underlying the wall-crossing story:
Bridgeland, Tom. "Spaces of stability conditions," math/0611510.
http://arxiv.org/abs/math/0611510
4) To see what people mean by "higher" Teichmuller theory:
Fock, Vladimir and Goncharov, Alexander. "Moduli spaces of local
systems and higher Teichm"uller theory," Publ. Math. Inst. Hautes
\'Etudes Sci. (2006) 1--211, math/0311149.
http://arxiv.org/abs/math/0311149
I will try to send a few better ones when I have firmed up exactly
what I am going to say.