Additivity for the parametrized topological Euler characteristic and Reidemeister torsion

Bernard Badzioch, Wojciech Dorabiala

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Dwyer, Weiss, and Williams have recently defined the notions of the parametrized topological Euler characteristic and the parametrized topological Reidemeister torsion which are invariants of bundles of compact topological manifolds. We show that these invariants satisfy additivity formulas paralleling the additive properties of the classical Euler characteristic and the Reidemeister torsion of CW-complexes.

Original languageEnglish (US)
Pages (from-to)1-22
Number of pages22
JournalK-Theory
Volume38
Issue number1
DOIs
StatePublished - Nov 1 2007

Fingerprint

Reidemeister Torsion
Additivity
Euler Characteristic
Topological manifold
CW-complex
Invariant
Bundle

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Additivity for the parametrized topological Euler characteristic and Reidemeister torsion. / Badzioch, Bernard; Dorabiala, Wojciech.

In: K-Theory, Vol. 38, No. 1, 01.11.2007, p. 1-22.

Research output: Contribution to journalArticle

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