Applications of an Equivariant Etale Cohomology to Arithmetic Topology

Details Applications of an Equivariant Etale Cohomology to Arithmetic Topology Applications of an Equivariant Etale Cohomology to Arithmetic Topology

2006-02-03

arxiv.org/abs/math/0602064v3

Compositio Math. 144 (2008), no. 1, 32-60

Mathematics

Number Theory

This is the final version published in Compositio Math. 144 (2008), no. 1, 32-60

Scientific paper

A. Sikora has shown results which confirm the analogy between number fields and 3-manifolds. However, he has given proofs of his results which are very different in the arithmetic and in the topological case. In this paper, we show how to provide a unified approach to the results in the two cases. For this we introduce an equivariant cohomology which satisfies a localization theorem. In particular, we obtain a satisfactory explanation for the coincidences between Sikora's formulas which leads us to clarify and to extend the dictionary of arithmetic topology.

Affiliated with

Also associated with

No associations

Rating

Applications of an Equivariant Etale Cohomology to Arithmetic Topology 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 Applications of an Equivariant Etale Cohomology to Arithmetic Topology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications of an Equivariant Etale Cohomology to Arithmetic Topology will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485139