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9 votes
3 answers
668 views

Do we get a instanton $S^{3}$ if we do $1/n$ surgery on a knot in $S^{3}$?

Consider the following question: Let $K\subset S^{3}$ be a nontrivial knot, and let $Y$ be the manifold obtained by doing $1/n$-surgery ($n\geq1$). Is it possible that the instanton Floer homology of $...
user44651's user avatar
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11 votes
1 answer
962 views

Monopole Floer Homology vs. Heegaard-Floer theory

I have a (possibly very naive) question: what is the relation between Monopole Floer Homology and Heegaard-Floer theory? (both known and conjectured) Is there some version of Atiyah-Floer conjecture ...
Nati's user avatar
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