Index theorem

related items

• Todd genus
• L-genus
• Elliptic genus
• Witten genus
• Supersymmetric quantum mechanics
• Atiyah-Bott fixed point theorem
• Lefschetz fixed point theorem

expositions

• http://ocw.u-tokyo.ac.jp/lecture?id=11330
• van Loon, Mark. “Path Integral Methods in Index Theorems.” arXiv:1509.03063 [math-Ph, Physics:quant-Ph], September 10, 2015. http://arxiv.org/abs/1509.03063.
• Zhang, Weiping. ‘The Mathematical Work of V. K. Patodi’. arXiv:1502.03637 [math], 12 February 2015. http://arxiv.org/abs/1502.03637.

articles

• Seunghun Hong, A Lie-algebraic approach to the local index theorem on compact homogeneous spaces, arXiv:1210.5855 [math.FA], October 22 2012, http://arxiv.org/abs/1210.5855, 10.1016/j.aim.2016.03.038, http://dx.doi.org/10.1016/j.aim.2016.03.038, Adv. Math. 296 (2016) 127-153
• Hosho Katsura, Tohru Koma, The $Z_2$ Index of Disordered Topological Insulators with Time Reversal Symmetry, 10.1063/1.4942494, http://dx.doi.org/10.1063/1.4942494, J. Math. Phys. 57, 021903(2016), http://arxiv.org/abs/1508.05485v3
• Vergne, Michèle. “Formal Equivariant $\hat A$ Class, Splines and Multiplicities of the Index of Transversally Elliptic Operators.” arXiv:1211.5547 [math], November 23, 2012. http://arxiv.org/abs/1211.5547.
• Baer, Christian, and Alexander Strohmaier. “A Rigorous Geometric Derivation of the Chiral Anomaly in Curved Backgrounds.” arXiv:1508.05345 [math-Ph], August 21, 2015. http://arxiv.org/abs/1508.05345.