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Secondary invariants for string cobordism and tmf

Bunke, Ulrich and Naumann, Niko (2010) Secondary invariants for string cobordism and tmf. Preprintreihe der Fakultät Mathematik 10/2010, Working Paper. (Unpublished)

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Using spectral invariants of Dirac operators we construct a secondary version
of the Witten genus, namely a bordism invariant of string manifolds in dimensions
4m−1. We prove a secondary index theorem which relates this global-analytic construction
with its homotopy-theoretic analog. The latter will be calculated through
its factorization over topological modular forms.

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Item Type:Monograph (Working Paper)
Institutions:Mathematics > Prof. Dr. Niko Naumann
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Deposited On:19 Jul 2010 08:49
Last Modified:13 Mar 2014 13:52
Item ID:15921
Owner Only: item control page


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