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An alternative stochastic proof for the Atiyah-Singer index theorem
An alternative stochastic proof Atiyah-Singer index theorem
2018/4/19
According toWatanabe [6], by generalized Wiener functional we could give a simple stochastic proof of the index theorem for twisted Dirac operator (the Atiyah-Singer index theorem) on Clifford module.
The family index theorem and bifurcation of solutions of nonlinear elliptic bvp
Bifurcation Nonlinear Elliptic Boundary Value Problems Fredholm Maps Index Bundle J-homomorphism Family Index Theorem
2011/8/31
Abstract: We obtain some new criteria for bifurcation of solutions of general boundary value problems for nonlinear systems of elliptic partial differential equations which are rather different from t...
In this article, we start to recall the inversion formula for the convolution with the Box spline. The equivariant cohomology and the equivariant K-theory with respect to a compact torus G of various ...
The Connes-Chern Character and The Atiyah-Patodi-Singer Index Theorem for Odd Dimensional Manifolds with Boundary
The Connes-Chern Character The Atiyah-Patodi-Singer Index Theorem
2010/11/9
We prove an analogue for odd dimensional manifolds with boundary, in the $b$-calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and by Wu.