Zobrazeno 1 - 10
of 137
pro vyhledávání: '"Bunke, U."'
In this note we specialize and illustrate the ideas developed in the paper math.DG/0201112 of the first author ("Index theory, eta forms, and Deligne cohomology ") in the case of the determinant line bundle. We discuss the surgery formula in the adia
Externí odkaz:
http://arxiv.org/abs/math/0301081
Autor:
Bunke, U.
Given a family of Dirac operators with vanishing spectral flow we construct a thin-invariant rank-one field theory in the sense of Turner and Willerton arXiv:math.AT/0201116. Our construction of the field theory generalizes the one of the index gerbe
Externí odkaz:
http://arxiv.org/abs/math/0201277
Autor:
Bunke, U.
The Chern classes of a K-theory class which is represented by a vector bundle with connection admit refinements to Cheeger-Simons classes in Deligne cohomology. In the present paper we consider similar refinements in the case where the classes in K-t
Externí odkaz:
http://arxiv.org/abs/math/0201112
We discuss some aspects of index and secondary index theory for flat bundles with duality. This theory was first developed by J. Lott. Our main purpose in the present paper is to provide a modification with better functorial properties.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/math/0106068
Autor:
Bunke, U.
We verify that the formula of X. Ma for the analytic torsion form of an iterated fibration implies that Lott's secondary analytic index is functorial.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/math/0003171
Autor:
Bunke, U., Olbrich, M.
We derive a formula for the regularized trace of operators with compact spectrum which act on the space of square integrable functions on the quotient of a semisimple Liegroup of real rank one by a convex-cocompact subgroup. The sum of normalized orb
Externí odkaz:
http://arxiv.org/abs/math/0003053
Autor:
Bunke, U.
The goal is to understand the index-theoretic aspects of the recent preprint of R. Nest and F. Radulescu, math.OA/9911042. The basic observation (due to E. Guenter/N. Higson) is that the index of the Toeplitz operator is equal to the index of an asso
Externí odkaz:
http://arxiv.org/abs/math/9911177
Autor:
Bunke, U., Olbrich, M.
We obtain the Plancherel theorem for the quotient of a simple Lie group of real rank one by a convex-cocompact discrete subgroup and its consequences for the spectrum of locally invariant differential operators on bundles over Kleinian manifolds. We
Externí odkaz:
http://arxiv.org/abs/math/9810146
Autor:
Bunke, U.
We consider a closed odd-dimensional oriented manifold $M$ together with an acyclic flat hermitean vector bundle $\cF$. We form the trivial fibre bundle with fibre $M$ over the manifold of all Riemannian metrics on $M$. It has a natural flat connecti
Externí odkaz:
http://arxiv.org/abs/dg-ga/9712001
Autor:
Bunke, U.
For any compact Lie group G we discuss the relation of the equivariant Reidemeister and analytic torsion of G-manifolds with their G-CW structures.
Comment: 29 pages, LATEX
Comment: 29 pages, LATEX
Externí odkaz:
http://arxiv.org/abs/dg-ga/9711011