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.