Vector bundles and representation theory: Conference on Hilbert Schemes, Vector Bundles, an…
by Cutkosky, Steven Dale, Conference on Hilbert Schemes, Vector Bundles, and Their Interplay with Representation Theory, University of Missouri, Columbia)
fromContemporary mathematics (American Mathematical Society)
This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and al…
There are two parts to this paper. In the first part, we solve the problem of when a finite regular covering of a closed [italic]n-manifold M is homotopic to an embedding in an [italic]n-plane bundle over M. The results of the first part are used in the second part to obtain res…
In this memoir, Yang-Mills field curvature and current are described as elements of cohomology groups on ambitwistor space, and it is shown that the Yang-Mills current corresponds to the third-order obstruction to extending the corresponding vector bundle. There is also a descri…
