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Results tagged with surgery-theory
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user 43054
In geometric topology, surgery theory is used to produce one finite-dimensional manifold from another in a 'controlled' way. Originally developed for differentiable (smooth) manifolds, surgery techniques also apply to piecewise linear and topological manifolds. Surgery refers to cutting out parts of the manifold and replacing it with a part of another manifold, matching up along the cut or boundary. This is related to handlebody decompositions.
11
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Accepted
Roadmap for L-Theory
I apologize for the self promotion -- I hope the content of this answer can be useful anyway...
My favourite introduction to L-theory is Lurie's notes on Algebraic L-theory and surgery (warning: aggr …
- 16.5k
11
votes
Künneth formulas/theorem for bordism groups and cobordisms?
The Künneth formula for ordinary homology as you present it works only when $R$ is a PID (or more generally of cohomological dimension 1).
For a general well-behaved homology theory[1] (this includes …
- 16.5k