Mathematics – Algebraic Topology
Scientific paper
2006-06-20
Mathematics
Algebraic Topology
36 pages
Scientific paper
Given a smooth closed manifold M with a family {L_i} of closed submanifolds, we consider the free loop space LM and the spaces PM(L_i,L_j) of open strings (paths g:[0,1]->M with g(0) in L_i, and g(1) in L_j). We construct string topology operations resulting in an open-closed TQFT on the family (h_*(LM),h_*(PM(L_i,L_j)) which extends the known string topology TQFT on h_*(LM). Here, h_* is a multiplicative generalized homology theory supporting orientations for M and the L_i. To construct the operations, we introduce the notion of open-closed fat graph, generalizing fat graphs to the open-closed setting.
No associations
LandOfFree
Open-Closed String Topology via Fat Graphs 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 Open-Closed String Topology via Fat Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Open-Closed String Topology via Fat Graphs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-621983