UPDATED  SUGGESTED PREREADINGS FROM THE FOLLOWING LECTURER (as of July 24, 2015):
Greg Moore:
 To prepare for his lecture, please review his lecture notes here and attempt some of the exercises at the end of Section 1.6.3 (pp. 2225)
Nicholas Read:
 "Topological phases and quasiparticle braiding," http://scitation.aip.org/content/aip/magazine/physicstoday/article/65/7/...
XiaoGang Wen:

Xie Chen, ZhengCheng Gu, ZhengXin Liu, XiaoGang Wen, "Symmetry protected topological orders in interacting bosonic systems," arXiv:1301.0861

XiaoGang Wen, "Construction of bosonic symmetryprotectedtrivial states and their topological invariants via G×SO(∞) nonlinear σmodels," arXiv:1410.8477
SUGGESTED PREREADINGS FROM THE FOLLOWING LECTURER (as of July 16, 2015):
Charles Kane:
1. Hasan and Kane, Colloquium: Topological Insulators, Rev. Mod. Phys. 82, 3045 (2010).
http://www.physics.upenn.edu/~kane/pubs/fp65.pdf
2. “Topological Band Theory and the Z2 Invariant,” C. L. Kane. Chapter 1 of “Topological insulators” edited by M. Franz and L. Molenkamp, Elsevier, 2013.
http://www.physics.upenn.edu/~kane/pubs/chap1.pdf
SUGGESTED PREREADINGS FROM THE FOLLOWING LECTURER (as of June 22, 2015):
Shivaji Sondhi:
1. Spin ice as a system with classical topological order
http://www.annualreviews.org/doi/abs/10.1146/annurevconmatphys020911125058
2. Topological order in Floquet systems.
Section 2 of http://arxiv.org/abs/1407.4803
SUGGESTED PREREADINGS FROM THE FOLLOWING LECTURER (as of May 4, 2015):
Greg Moore:
1. The material for his lectures will be taken from his own online lecture notes: http://www.physics.rutgers.edu/~gmoore/ViennaLecturesF.pdf. The main goal will be to get to sections 2.5 and 2.6.
2. F.J. Dyson, “The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics,’ J. Math. Phys. 3, 1199 (1962)
3. A. Kitaev, “Periodic table for topological insulators and superconductors,” AIP Conf. Proc. 1134 (2009) 2230; arXiv:0901.2686
4. M.R. Zirnbauer, “Symmetry Classes,” arXiv:1001.0722
SUGGESTED PREREADINGS FROM THE FOLLOWING LECTURERS (as of April 22, 2015):
M. Zahid Hasan:
1. “Topological Insulators” M. Z. Hasan and C. L. Kane; Rev. Mod. Phys. 82, 3045 (2010) link: http://journals.aps.org/rmp/abstract/10.1103/RevModPhys.82.3045
2. “ThreeDimensional Topological Insulators” M. Z. Hasan and J. E. Moore; Ann. Rev. Cond. Mat. Phys. 2, 55 (2011) link: http://www.annualreviews.org/doi/abs/10.1146/annurevconmatphys062910140432
3. “Topological Insulators, Topological Dirac/Weyl Semimetals, Topological Crystalline Insulators and Topological Kondo Insulators” M. Z. Hasan, S.Y. Xu, M. Neupane; Preprint at arXiv:1406.1040v2 (2014) link: http://arxiv.org/abs/1406.1040
If you are unable to access the papers using the above links, please visit http://physics.princeton.edu/zahidhasangroup/index.html to locate the papers.
Edward Witten:
1. M. Z. Hasan and C. L. Kane ``Topological Insulators'' arXiv:1002.3895
2. X.L. Qi and ShouCheng Zhang ``Topological Insulators and Superconductors'' arXiv:1008.2026