Author Archives: floerhomology

Two or infinitely many Reeb orbits

Sorry this blog has been quiet for a while. There are a lot of things I would like to write about, but I have been trying to finish some papers. In particular, Dan Cristofaro-Gardiner, Dan Pomerleano, and I recently completed … Continue reading

Posted in Uncategorized | 2 Comments

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

Posted in ECH, Open questions | 1 Comment

An alternate definition of local contact homology

This blog has been dormant for a while, but I have a backlog of topics to write about. The following is something I meant to write after the AIM workshop last December, where I suggested this in a discussion. 1. … Continue reading

Posted in Contact homology | Leave a comment

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

Posted in ECH | 2 Comments

Is cylindrical contact homology defined with integer coefficients?

A confusing issue about cylindrical contact homology is whether it is defined with integer or rational coefficients. I would now like to try to clear this up once and for all. If I am not mistaken, the conclusions are the … Continue reading

Posted in Contact homology, Open questions | 7 Comments