A groupoid proof of the Lefschetz fixed point formula

A Lefschetz Fixed Point Formula for Elliptic Differential Operators

Introduction. The classical Lefschetz fixed point formula expresses, under suitable circumstances, the number of fixed points of a continuous map ƒ : X-+X in terms of the transformation induced by ƒ on the cohomology of X. If X is not just a topological space but has some further structure, and if this structure is preserved by ƒ, one would expect to be able to refine the Lefschetz formula and ...

Lefschetz Fixed Point Formula for Manifolds with Cylindrical Ends

Supersymmtric Quantum Mechanics and Lefschetz fixed-point formula

We review the explicit derivation of the Gauss-Bonet and Hirzebruch formulae by physical model and give a physical proof of the Lefschetz fixed-point formula by twisting boundary conditions for the path integral.

The Lefschetz Fixed Point Theorem

The Lefschetz Fixed Point Theorem generalizes a collection of fixed point theorems for different topological spaces, including maps on the n-sphere and the n-disk. Although the theorem is easily written in terms of compact manifolds, in this paper we will work entirely with topological spaces that are simplicial complexes or retracts of simplicial complexes. After developing the fundamentals of...

A New Proof of the Lefschetz Formula on Invariant Points.

the flower colors in the resulting progenies, while in the second type of cross it is the Ss factors whose segregations determine the flower colors of the families produced. The Ss factors are in linkage group I in which the rubricalyx factor is also included, while the Vv factors are in linkagegroup III. It is clear, therefore, that independence between old-gold and rubricalyx can be observed ...