Triple products and cohomological invariants for closed three-manifolds

Details Triple products and cohomological invariants for closed three-manifolds Triple products and cohomological invariants for closed three-manifolds

2006-11-16

arxiv.org/abs/math/0611511v3

Mathematics

Geometric Topology

Edited to reflect referee's suggestions; expanded section 4 including exposition of universal coefficients spectral sequence.

Scientific paper

Motivated by conjectures in Heegaard Floer homology, we introduce an invariant HC(Y) of the cohomology ring of a closed 3-manifold Y whose behavior mimics that of the Heegaard Floer homology HF^\infty(Y,s) for s a torsion spin-c structure. We derive from this a numerical invariant h(Y), and obtain upper and lower bounds on h(Y). We describe the behavior of h(Y) under connected sum, and deduce some topological consequences. Examples show that the structure of HC(Y) can be surprisingly complicated, even for 3-manifolds with comparatively simple cohomology rings.

Affiliated with

Also associated with

No associations

Rating

Triple products and cohomological invariants for closed three-manifolds 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 Triple products and cohomological invariants for closed three-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Triple products and cohomological invariants for closed three-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-338270