Equivariant aspects of Yang-Mills Floer theory

Details Equivariant aspects of Yang-Mills Floer theory Equivariant aspects of Yang-Mills Floer theory

1999-03-16

arxiv.org/abs/math/9903083v3

Mathematics

Differential Geometry

A few cosmetic changes. To appear in Topology

Scientific paper

We use Floer's exact triangle to study the u-map (cup product with the 4-dimensional class) in the Floer cohomology groups of admissible SO(3) bundles over closed, oriented 3-manifolds. In the case of non-trivial bundles we show that (u^2-64)^n = 0 for some positive integer n. For homology 3-spheres Y the same holds for a certain reduced Floer group, which is obtained from the ordinary one by factoring out interaction with the trivial connection. This leads to a new proof (in the simply-connected case) of the finite type conjecture of Kronheimer and Mrowka concerning the structure of Donaldson polynomials. In the case of rational coefficients, interaction with the trivial connection is measured by a single integer h(Y), which is additive under connected sums and depends only on the rational homology cobordism class of Y.

Affiliated with

Also associated with

No associations

Rating

Equivariant aspects of Yang-Mills Floer theory 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 Equivariant aspects of Yang-Mills Floer theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Equivariant aspects of Yang-Mills Floer theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-538509