35 citations · 81 across the 10 of their papers we have counts for
10 papers
Stable string operations are trivial
Hirotaka Tamanoi
We show that in closed string topology and in open-closed string topology with one -brane, higher genus stable string operations are trivial. This is a consequence of Harer's st…
Open-Closed TQFT String Operations for Disc Cobordisms, Simultaneous Saddle Interactions, and Constant Homology Classes
Hirotaka Tamanoi
Previously, we showed that most of the open-closed topological quantum field theory (TQFT) string operations vanish including all the higher genus TQFT operations, and we described…
TQFT string operations in open-closed string topology
Hirotaka Tamanoi
To open-closed cobordism surfaces, open-closed string topology associates topological quantum field theory (TQFT) operations, namely string operations, which depend only on homeomo…
A Homotopy Theoretic Proof of the BV Identity in Loop Homology
Hirotaka Tamanoi
Chas and Sullivan proved the existence of a Batalin-Vilkovisky algebra structure in the homology of free loop spaces on closed finite dimensional smooth manifolds using chains and…
Loop coproducts in string topology and triviality of higher genus TQFT operations
Hirotaka Tamanoi
Cohen and Godin constructed positive boundary topological quantum field theory (TQFT) structure on the homology of free loop spaces of oriented closed smooth manifolds by associati…
Cap Products in String Topology
Hirotaka Tamanoi
Chas and Sullivan showed that the homology of the free loop space LM of an oriented closed smooth finite dimensional manifold M admits the structure of a Batalin-Vilkovisky (BV) al…