Topological $ε$-factors

Details Topological $ε$-factors Topological $ε$-factors

2006-10-02

arxiv.org/abs/math/0610055v3

Mathematics

Algebraic Geometry

29 pages, AMSTEX, revised version

Scientific paper

The article describes a purely topological counterpart of the $\epsilon$-factorization of constants in the functional equations (which is a key ingredient in the interplay between L-functions and classical automorphic forms). We consider the determinant of the cohomology of a constructible sheaf F on a real analytic manifold X (or a bit more precise object, which is $R\Gamma(X,F)$ seen as a homotopy point of the K-theory spectrum), and show that it can be "computed" by means of a "spectral" version of the Dubson-Kashiwara formula, which yields, in particular, the $\epsilon$-factorization format. This picture may lead to a better understanding of a recent work of Bloch-Deligne-Esnault on the determinant of the period matrix.

Affiliated with

Also associated with

No associations

Rating

Topological $ε$-factors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological $ε$-factors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological $ε$-factors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-176295