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math.AT2006★ 10 cited
Open-Closed String Topology via Fat Graphs
Antonio Ramirez
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(…
math.AT2004★ 2 cited
The topology of the category of open and closed strings
Nils A. Baas, Ralph L. Cohen, Antonio Ramirez
In this paper we study the topology of the cobordism category of open and closed strings. This is a 2-category in which the objects are compact one-manifolds whose boundary compone…