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Contact manifolds, contact structures, contact forms, Reeb dynamics, Legendrian knots, contact homology, symplectic field theory

4 votes
1 answer
73 views

Finding an overtwisted disk in a contact surgery diagram

I've been reading through Surgery on Contact 3-Manifolds and Stein Surfaces by Ozbagci & Stipsicz and have been stuck on an exercise. Consider the following contact surgery diagram for $(S^3,\xi_{-1}) …
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2 votes

Finding an overtwisted disk in a contact surgery diagram

I apologize for posting an answer to my own question so soon. I was shown an answer recently by a post-doc at my university. My approach above could not have found this solution. The Legendrian knot $ …
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0 votes

Effect of a Lutz twist on Euler number

I think the proof as written in the book is more along the following lines. Let $K$ be the positive transverse knot along which the Lutz twist on $\xi_0$ is performed. Take a neighborhood $S^1\times D …
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