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arXiv · 1307.5783

Equivariant Lefschetz and Fuller indices via topological intersection theory

Philipp Wruck
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Abstract

For a compact Lie group G, we use G-equivariant Poincaré duality for ordinary RO(G)-graded homology to define an equivariant intersection product, the dual of the equivariant cup product. Using this, we give a homological construction of the equivariant Lefschetz number and a simple proof of the equivariant Lefschetz fixed point theorem. With similar techniques, an equivariant Fuller index with values in the rationalized Burnside ring is constructed.

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Philipp Wruck. 2013-07-22. Equivariant Lefschetz and Fuller indices via topological intersection theory. https://arxiv.org/abs/1307.5783

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