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Item Details
| Title:
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CONNES-CHERN CHARACTER FOR MANIFOLDS WITH BOUNDARY AND ETA COCHAINS
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| By: |
Matthias Lesch, Henri Moscovici, Markus J. Pflaum |
| Format: |
Paperback |
| List price:
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£66.95 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
0821872966 |
| ISBN 13: |
9780821872963 |
| Publisher: |
AMERICAN MATHEMATICAL SOCIETY |
| Pub. date: |
15 November, 2012 |
| Series: |
Memoirs of the American Mathematical Society 220, 1036 |
| Pages: |
92 |
| Description: |
"November 2012, volume 220, number (end of volume)." |
| Synopsis: |
The authors express the Connes-Chern of the Dirac operator associated to a b-metric on a manifold with boundary in terms of a retracted cocycle in relative cyclic cohomology, whose expression depends on a scaling/cut-off parameter. Blowing-up the metric one recovers the pair of characteristic currents that represent the corresponding de Rham relative homology class, while the blow-down yields a relative cocycle whose expression involves higher eta cochains and their b-analogues. The corresponding pairing formulae, with relative K-theory classes, capture information about the boundary and allow to derive geometric consequences. As a by-product, the authors show that the generalized Atiyah-Patodi-Singer pairing introduced by Getzler and Wu is necessarily restricted to almost flat bundles. |
| Publication: |
US |
| Imprint: |
American Mathematical Society |
| Returns: |
Returnable |
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