The equivariant family index theorem in odd dimensions
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| 024 | 7 | 0 | |a 10.1007/s10114-015-3637-6 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3637-6 | ||
| 245 | 0 | 4 | |a The equivariant family index theorem in odd dimensions |h [Elektronische Daten] |c [Kai Bao, Jian Wang, Yong Wang] |
| 520 | 3 | |a In this paper, we prove a local odd dimensional equivariant family index theorem which generalizes Freed's odd dimensional index formula. Then we extend this theorem to the noncommutative geometry framework. As a corollary, we get the odd family Lichnerowicz vanishing theorem and the odd family Atiyah-Hirzebruch vanishing theorem. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Odd equivariant family index formula |2 nationallicence | |
| 690 | 7 | |a Chern-Connes character |2 nationallicence | |
| 690 | 7 | |a Atiyah-Hirzebruch vanishing theorem |2 nationallicence | |
| 700 | 1 | |a Bao |D Kai |u School of Mathematics and Statistics, Northeast Normal University, 130024, Changchun, P. R. China |4 aut | |
| 700 | 1 | |a Wang |D Jian |u School of Science, Tianjin University of Technology and Education, 300222, Tianjin, P. R. China |4 aut | |
| 700 | 1 | |a Wang |D Yong |u School of Mathematics and Statistics, Northeast Normal University, 130024, Changchun, P. R. China |4 aut | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/7(2015-07-01), 1149-1162 |x 1439-8516 |q 31:7<1149 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3637-6 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3637-6 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bao |D Kai |u School of Mathematics and Statistics, Northeast Normal University, 130024, Changchun, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Jian |u School of Science, Tianjin University of Technology and Education, 300222, Tianjin, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Wang |D Yong |u School of Mathematics and Statistics, Northeast Normal University, 130024, Changchun, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/7(2015-07-01), 1149-1162 |x 1439-8516 |q 31:7<1149 |1 2015 |2 31 |o 10114 | ||