Primary tabs
All day 

Before 01
01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23

Conference  CAST  Contact and Symplectic Topology
Jan 26, 2017 to Jan 28, 2017 Nantes, from January 26th to January 28th Organization board: Baptiste Chantraine, Vincent Colin, Paolo Ghiggini Scientific board: JeanFrançois Barraud, Baptiste Chantraine, Kai Cieliebak, Tobias Ekholm Cazassus
Jan 28, 2017 Manolescu and Woodward defined homology groups associated to a closed connected oriented 3manifold, called symplectic instanton homology, using Lagrangian Floer homology inside a moduli space of flat SU(2)connexions associated to a punctured Heegaard surface. Using Wehrheim and Woodward's "Floer field theory" and pseudoholomorphic quilts, I will show that these groups only depend on the choice of a basepoint, and will define maps associated to a smooth 4dimensional cobordism equipped with a path. Sivek
Jan 28, 2017 In recent work, Baldwin and I defined invariants of contact 3manifolds with boundary in sutured instanton Floer homology. I will sketch the proof of a theorem about these invariants which is analogous to a result of Plamenevskaya in Heegaard Floer homology: if a 4manifold admits several Stein structures with distinct Chern classes, then the invariants of the induced contact structures on its boundary are linearly independent. As a corollary, we conclude that if a homology sphere Y admits a Stein filling which is not a homology ball, then its fundamental group admits a nontrivial representation to SU(2). This is joint work with John Baldwin. Tonkonog
Jan 28, 2017 Given a Lagrangian twotorus with an attached Lagrangian disk, one can construct a different Lagrangian torus by a procedure called mutation. I will talk about the wallcrossing formula which describes how the enumerative geometry of holomorphic Maslov index 2 disks changes under mutation. I will also mention higherdimensional mutations, and the wallcrossing formula for them. This is joint work with James Pascaleff. 