The paper defines a combinatorial fixed point index as the classical index of the interior of a subspace, and develops integration theory with respect to it, generalizing the combinatorial Lefschetz number.
Sheaf Theoretic Approach to Lefschetz Calculus
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abstract
We lift the Lefschetz number from an algebraic invariant of maps between spaces to an invariant of morphisms of data over the spaces.
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A Combinatorial Study of the Fixed Point Index
The paper defines a combinatorial fixed point index as the classical index of the interior of a subspace, and develops integration theory with respect to it, generalizing the combinatorial Lefschetz number.