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Audiovisual Mathematics Library

Audiovisual Mathematics Library

Documents 57R17 3 results

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Symplectic mapping class groups: structural properties from smooth to $C^{0}$ - Keating, Ailsa (Author of the conference) | CIRM H

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The aims of this talk are two-fold: a) to give a biased overview of some structural properties of (smooth) symplectic mapping class groups, together with some key proof ingredients, and b) to present some open questions, both about those groups and about their $C^{0}$ counterparts, whose study was recently initiated by Alexandre Jannaud.

53D05 ; 53D40 ; 57R17

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Virtual fundamental cycles and contact homology - Pardon, John (Author of the conference) | CIRM H

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I will discuss work in progress aimed towards defining contact homology using "virtual" holomorphic curve counting techniques.

37J10 ; 53D35 ; 53D40 ; 53D42 ; 53D45 ; 57R17

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Trisections diagrams and surgery operations on embedded surfaces​ - Gay, David (Author of the conference) | CIRM H

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Various surgery operations on dimension four begin with a 4–manifold $X$ and an embedded surface $S$, then remove a neighborhood of $S$ and replace it with something else to produce an interesting new 4–manifold. In a few standard surgery constructions, especially the Gluck twist operation, I will show how, given a trisection diagram of $X$ with decorations that describe the embedded surface $S$, to produce a trisection diagram for the new 4–manifold.
This is joint work with Jeff Meier.[-]
Various surgery operations on dimension four begin with a 4–manifold $X$ and an embedded surface $S$, then remove a neighborhood of $S$ and replace it with something else to produce an interesting new 4–manifold. In a few standard surgery constructions, especially the Gluck twist operation, I will show how, given a trisection diagram of $X$ with decorations that describe the embedded surface $S$, to produce a trisection diagram for the new ...[+]

57M50 ; 57R45 ; 57R65 ; 57R17

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