"Index theorem"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| + | ==related items== | ||
| + | * [[Todd genus]] | ||
| + | * [[L-genus]] | ||
| + | * [[Elliptic genus]] | ||
| + | * [[Witten genus]] | ||
| + | * [[Supersymmetric quantum mechanics]] | ||
| + | * [[Atiyah-Bott fixed point theorem]] | ||
| + | * [[Lefschetz fixed point theorem]] | ||
| + | |||
| + | ==expositions== | ||
| + | * Paul Baum, Erik van Erp, K-homology and Fredholm Operators II: Elliptic Operators, arXiv:1604.03535 [math.DG], April 12 2016, http://arxiv.org/abs/1604.03535 | ||
| + | * Paul Baum, Erik van Erp, K-homology and Fredholm operators I: Dirac Operators, arXiv:1604.03502 [math.DG], April 12 2016, http://arxiv.org/abs/1604.03502 | ||
| + | * 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. | ||
| + | [[분류:migrate]] | ||
2020년 11월 13일 (금) 05:42 판
- Todd genus
- L-genus
- Elliptic genus
- Witten genus
- Supersymmetric quantum mechanics
- Atiyah-Bott fixed point theorem
- Lefschetz fixed point theorem
expositions
- Paul Baum, Erik van Erp, K-homology and Fredholm Operators II: Elliptic Operators, arXiv:1604.03535 [math.DG], April 12 2016, http://arxiv.org/abs/1604.03535
- Paul Baum, Erik van Erp, K-homology and Fredholm operators I: Dirac Operators, arXiv:1604.03502 [math.DG], April 12 2016, http://arxiv.org/abs/1604.03502
- 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.