The Atiyah-Patodi-Singer theorem for perturbed Dirac operators on even-dimensional manifolds with bounded geometry.
The Bochner Laplacian, Riemannian submersions, heat content asymptotics, and heat equation asymptotics
The boundary value problem for Dirac-harmonic maps
Dirac-harmonic maps are a mathematical version (with commuting variables only) of the solutions of the field equations of the non-linear supersymmetric sigma model of quantum field theory. We explain this structure, including the appropriate boundary conditions, in a geometric framework. The main results of our paper are concerned with the analytic regularity theory of such Dirac-harmonic maps. We study Dirac-harmonic maps from a Riemannian surface to an arbitrary compact Riemannian manifold. We...
The boundary-contact problem of elasticity for homogeneous anisotropic media with a contact on some part of the boundaries.
The Fatou theorem for NA groups - a negative result
The ...-form and a generalized Maslov index.