Geometric aspects of partial differential equations: proceedings of a Minisymposium on Spectral Invari…
by Booss, Bernhelm, Wojciechowski, Krzysztof P., Minisymposium on Spectral Invariants, Heat Equation Approach, Roskilde (Denmark))
fromContemporary mathematics (American Mathematical Society)
Geometric aspects of partial differential equations: proceedings of a Minisymposium on Spectral Invari…
by Booss, Bernhelm, Wojciechowski, Krzysztof P., Minisymposium on Spectral Invariants, Heat Equation Approach, Roskilde (Denmark))
fromContemporary mathematics (American Mathematical Society)
These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., no…
These lecture notes aim at providing a purely analytical and accessible proof of the Callias index formula. In various branches of mathematics (particularly, linear and nonlinear partial differential operators, singular integral operators, etc.) and theoretical physics (e.g., no…
In this paper we formulate and prove an index theorem for minimal surfaces of higher topological type spanning one boundary contour. Our techniques carry over to surfaces with several boundary contours as well as to unoriented surfaces.