Additivity for the parametrized topological Euler characteristic and Reidemeister torsion |
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Authors: | Bernard Badzioch Wojciech Dorabiała |
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Institution: | (1) Department of Mathematics, SUNY at Buffalo, Buffalo, NY 14260, USA;(2) Department of Mathematics, Penn State Altoona, Altoona, PA 16601, USA |
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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. |
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Keywords: | Reidemeister torsion Euler characteristic Additivity formula |
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