Higher Complex Torsion and the Framing Principle

Author: Kiyoshi Igusa  

Publisher: American Mathematical Society‎

Publication year: 2013

E-ISBN: 9781470404369

P-ISBN(Paperback): 9780821837733

P-ISBN(Hardback):  9780821837733

Subject: O189 topology (geometry of situation)

Keyword: Geometry and Topology

Language: ENG

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Higher Complex Torsion and the Framing Principle

Description

We prove that higher Franz-Reidemeister (FR) torsion satisfies the transfer property and a formula known as the “Framing Principle” in full generality. We use these properties to compute the higher FR–torsion for all smooth bundles with oriented closed even dimensional manifold fibers. We also show that the higher complex torsion invariants of bundles with closed almost complex fibers are multiples of generalized Miller-Morita-Mumford classes.

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