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Symplectic topology of Brieskorn singularities – Cagri Karakurt (Bogazici University)

March 30, 2022 @ 11:00 am - 12:00 pm

Abstract: Cagri will talk about some symplectic/contact topological aspects of Brieskorn singularities $x^p+y^q+z^r=0$. He’ll tell how to draw the surgery diagrams of their canonical contact structures and prove that the Milnor fiber $M(p,q,r)$ symplectically embeds into $M(p’,q’,r’)$ whenever $p\leq p’$, $q\leq q’$, and $r\leq r’$ by explicitly constructing a Stein cobordism between corresponding canonical contact structures. In the reverse direction, contact Heegaard-Floer invariant sometimes obstructs the existence of Stein cobordisms between certain types of singularities. When p=q=r, exchanging the Milnor fiber with the minimal resolution of the  singularity gives an interesting relationship in the mapping class group and defines a new interpretation of certain symplectic sum operation on four-dimensional manifolds. The talk is based on his recent joint work with Akhmedov and Sakalli. The seminar will be held on Zoom. Contact for the link to the Zoom.


March 30, 2022
11:00 am - 12:00 pm
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