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Results tagged with cobordism
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user 156537
Cobordism is a fundamental equivalence relation on the class of compact manifolds of the same dimension, set up using the concept of the boundary of a manifold.
5
votes
0
answers
284
views
Factorization homology and topological conformal field theories
My question concerns some of the results of Costello's "Topological conformal field theories and Calabi-Yau categories" and how they are related/ can be rederived via the description of (fully extende …
- 898
4
votes
1
answer
219
views
Gluing a manifold along its boundary, via chain complexes
Given closed oriented $n$-manifolds $M, M', M''$ and bordisms $W, W'$ with $\partial W = M \sqcup - M'$ and $\partial W' = M' \sqcup - M''$, we can collar-glue them to obtain a bordism from $M$ to $M' …
- 898
1
vote
Gluing a manifold along its boundary, via chain complexes
I might have a idea how to prove my claim, that also generalizes to any stable $\infty$-category with duality functor:
Let $C$ be a chain complex, remember that there are natural diagonal and codiagon …
- 898