E-Dissertationen: Search
Now showing items 21-23 of 23
Inverse spectral theory and relative determinants of elliptic operators on surfaces with cusps
(2009-01-29)
This thesis concerns relative determinants for Laplacians on surfaces with asymptotically cusps ends and the inverse spectral problem on surfaces with cusps. We consider $(M,g)$, a surface with cusps, and a metric on the ...
Higher Green’s functions for modular forms
(2009-03-12)
Higher Green functions are real-valued functions of two variables on the upper half plane which are bi-invariant under the action of a congruence subgroup, have logarithmic singularity along the diagonal, but instead of ...
Coverings, Correspondence, and Noncommutative Geometry
(2009-01-19)
We construct an additive category where objects are embedded graphs in the 3-sphere and morphisms are geometric correspondences given by 3-manifolds realized in different ways as branched covers of the 3-sphere, up to ...