Curved String Topology and Tangential Fukaya Categories

Details Curved String Topology and Tangential Fukaya Categories Curved String Topology and Tangential Fukaya Categories

2011-11-06

arxiv.org/abs/1111.1460v1

Physics

Mathematical Physics

This paper is based upon a short talk given in Summer '2011 at the String-Math Conference at the University of Pennsylvania

Scientific paper

Given a simply connected manifold M such that its cochain algebra, C^\star(M), is a pure Sullivan dga, this paper considers curved deformations of the algebra C_\star({\Omega}M) and consider when the category of curved modules over these algebras becomes fully dualizable. For simple manifolds, like products of spheres, we are able to give an explicit criterion for when the resulting category of curved modules is smooth, proper and CY and thus gives rise to a TQFT. We give Floer theoretic interpretations of these theories for projective spaces and their products, which involve defining a Fukaya category which counts holomorphic disks with prescribed tangencies to a divisor.

Affiliated with

Also associated with

No associations

Rating

Curved String Topology and Tangential Fukaya Categories 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 Curved String Topology and Tangential Fukaya Categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Curved String Topology and Tangential Fukaya Categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689185