Category Archives: ECH

Mean action and the Calabi invariant

I recently posted a new paper, “Mean action and the Calabi invariant“. There is a bit of a story about where this paper comes from; I didn’t try to explain this in the paper, in order to keep things focused, … Continue reading

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From SFT to ECH, Part 3

References: [NOTES] M. Hutchings, Lecture notes on embedded contact homology [OBG1] M. Hutchings and C. H. Taubes, Gluing pseudoholomorphic curves along branched covered cylinders I Sorry, I overreached a bit in my previous blog post. In the previous post, I … Continue reading

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From SFT to ECH, Part 2

References: [NOTES] M. Hutchings, Lecture notes on embedded contact homology [FABERT] O. Fabert, Obstruction bundles over moduli spaces with boundary and the action filtration in symplectic field theory Continuing the previous post, I now want to explain how to use … Continue reading

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From SFT to ECH, Part 1

References: [NOTES] M. Hutchings, Lecture notes on embedded contact homology [OBG1] M. Hutchings and C. H. Taubes, Gluing pseudoholomorphic curves along branched covered cylinders I [CC2] M. Hutchings and C. H. Taubes, Proof of the Arnold chord conjecture in three … Continue reading

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A guest post by Dans C-G and P

[The following is a guest post by Dan Cristofaro-Gardiner and Dan Pomerleano. If anyone else is interested in contributing a guest post, please feel free to contact me. A blog is a good outlet for short or informal mathematical thoughts … Continue reading

Posted in ECH, Open questions | 1 Comment

Symplectic folding is sometimes optimal

Reference: [BEYOND] = “Beyond ECH capacities” I have played with a few more calculations using the methods in [BEYOND]. Here is the most interesting thing I have found so far. In [BEYOND, Thm. 1.2], it was shown, among other things, … Continue reading

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Erratum to “The ECH index revisited”

You may have noticed that there has been a long hiatus in postings on this blog. Last semester was extraordinarily busy with teaching. Anyway I am now thinking about some exciting (to me at least) research topics, and this led … Continue reading

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