Bunke, Ulrich and Schick, Thomas (2008) Real secondary index theory. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 8 (2). pp. 1093-1139. ISSN 1472-2739,
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In this paper, we study the family index of a family of spin manifolds. In particular, we discuss to what extent the real index (of the Dirac operator of the real spinor bundle if the fiber dimension is divisible by 8) which can be defined in this case contains extra information over the complex index (the index of its complexification). We study this question under the additional assumption that the complex index vanishes on the k - skeleton of B. In this case, we define new analytical invariants (c) over cap (k) is an element of H(k-1) (B; R/Z), certain secondary invariants. We give interesting nontrivial examples. We then describe this invariant in terms of known topological characteristic classes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 11 Nov 2020 08:05 |
| Last Modified: | 11 Nov 2020 08:05 |
| URI: | https://pred.uni-regensburg.de/id/eprint/31530 |
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