Mathematik in den Naturwissenschaften Leipzig Dirac - harmonic maps from degenerating spin surfaces I : the Neveu - Schwarz case

Dirac-harmonic maps from degenerating spin surfaces I: the Neveu-Schwarz case

We study Dirac-harmonic maps from degenerating spin surfaces with uniformly bounded energy and show the so-called generalized energy identity in the case that the domain converges to a spin surface with only Neveu-Schwarz type nodes. We find condition that is both necessary and sufficient for the W 1,2 ×L modulo bubbles compactness of a sequence of such maps. 2000 Mathematics Subject Classifica...

Mathematik in den Naturwissenschaften Leipzig Floer homology of cotangent bundles and the loop product

F Ur Mathematik in Den Naturwissenschaften Leipzig Universal Covering Maps and Radial Variation Universal Covering Maps and Radial Variation

Mathematik in den Naturwissenschaften Leipzig C 1 , α Regularity for Solutions to the p - Harmonic thin Obstacle Problem

We prove C regularity for a thin obstacle problem for the p-laplace equation. Due to the nonlinearity of the p-laplace operator we can not use the same methods used for the Laplace case, instead we use techniques developed by E. de Giorgi. AMS Classification: 35R35, 35J60, 35B65.

für Mathematik in den Naturwissenschaften Leipzig Heat kernel coefficients for chiral bag boundary conditions

We study the asymptotic expansion of the smeared L2-trace of f e−tP 2 where P is an operator of Dirac type, f is an auxiliary smooth smearing function which is used to localize the problem, and chiral bag boundary conditions are imposed. Special case calculations, functorial methods and the theory of ζand η-invariants are used to obtain the boundary part of the heat-kernel coefficients a1 and a2.