Joel Schmitz (University of Lancaster)
How to manipulate almost toric fibrations abstract
Abstract:
In this talk I will explain what almost toric fibrations are, and how one can apply mutations to them in various ways (algebraic, by the operation of transferring the cut, or in terms of nodal tangles).
10:00 • Université de Neuchâtel, Rue Emile-Argand 11, Room B217
Joel Schmitz (University of Lancaster)
ATFs for rational surfaces abstract
Abstract:
I have earlier shown a normal form for ATFs for closed toric symplectic 4-manifolds. This leads to the several corollaries (such as Symington\'s conjecture on the connectivity of the space of ATFs, counter-examples to the Lagrangian Poincaré recurrence conjecture, and new constructions of exotic Lagrangian tori). I here explain how to extend this construction (and with it some of the applications) to positive rational symplectic 4-manifolds, namely those symplectic blow-ups of CP^2 for which the sum of the sizes of the blow-ups is less than the size of the line.
13:00 • Université de Neuchâtel, Rue Emile-Argand 11, Room B217