Author Archives: floerhomology

The ABHS construction of contact forms with high systolic ratio

  The purpose of this post, which accompanies a student seminar talk, is to explain a construction of Abbondandolo-Bramham-Hryniewicz-Salomão of contact forms with high systolic ratio. To review what this means, let be a compact domain in with smooth boundary … Continue reading

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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

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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

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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

Posted in ECH | 2 Comments