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Results tagged with topological-quantum-field-theory
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user 798
Topological quantum field theory.
24
votes
1
answer
1k
views
When is a TQFT the dimensional reduction of a higher dimensional TQFT?
In Lurie's framework for TQFT's, a TQFT is a symmetric mondoial functor from $Cob_n(n)$ to some symmetric monoidal $n$-category $\mathcal{C}$. One can construct an $(n-1)$-dimensional TQFT from an $n$ …
- 8,167
7
votes
1
answer
709
views
Can string topology be a open-closed TCFT with the full set of branes?
String topology studies the algebraic structure of the homology of the free loop space $LM = Map(S^1,M)$ of a oriented closed manifold. One aspect of this structure is that the pair $(H_\ast(LM;\mathb …
- 8,167
5
votes
1
answer
902
views
What is the Gromov-Witten potential associated to String Topology?
Kevin Costello's article on the Gromov-Witten potential associated to a TCFT constructs for each TCFT, i.e. a functor from chains on Riemann surfaces with boundary to chain complexes satisfying certai …
- 8,167
4
votes
0
answers
468
views
Does a Dehn twist in the mapping class group of an cobordism give a BV-operator in string to...
In her article Higher string topology operations, Godin in particular construct for each surface with $n$ incoming and $m \geq 1$ outgoing boundary circles an operation $H_\ast(BMod(S);det^{\otimes d} …
- 8,167