Monthly Archives: May 2012

Why aren’t there three variants of ECH?

Frequently asked question: Heegaard Floer homology comes in three variants which fit into an exact triangle, namely , , and . Likewise for Seiberg-Witten Floer homology which has , , and . So why is there only one ECH? Answer: … Continue reading

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ECH as a (symplectic) field theory

Consider the following question: Given a closed symplectic 4-manifold with a separating contact type hypersurface , how can one compute Taubes’s Gromov invariant of by cutting along and pairing some kind of relative ECH of the two pieces? If I’m … Continue reading

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Strong cobordisms and the ECH contact invariant

I haven’t yet finished my end of semester duties, but as procrastination, here is a math post. If I am not mistaken, there is a simple argument to prove the following, answering a question which Chris Wendl asked me a … Continue reading

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Is this a scam?

There is a lot of math stuff which I would like to post here, but I won’t really have time for that until the semester is over.  Meanwhile, here is a strange email I received and my reply to it: … Continue reading

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