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Braid group actions on derived categories of coherent sheaves
This paper gives a construction of braid group actions on the derived category of coherent sheaves on a variety $X$. The motivation for this is Kontsevich's homological mirror conjecture, together
Graded Lagrangian submanifolds
La cohomologie de Floer symplectique est un groupe abelien gradue, mais seulement dans un sens relatif. La notion de sous-variete Lagrangienne graduee sert a lever cette ambiguite. On expose cette
An open string analogue of Viterbo functoriality
In this preprint, we look at exact Lagrangian submanifolds with Legendrian boundary inside a Liouville domain. The analogue of symplectic cohomology for such submanifolds is called “wrapped Floer
Homological mirror symmetry for the genus two curve
Katzarkov has proposed a generalization of Kontsevich's mirror symmetry conjecture, covering some varieties of general type. We prove a version of this conjecture in the simplest example, relating
A biased view of symplectic cohomology
We correct an error in (1), pointed out to the author by Ritter. This Erratum will not be published.
Homological mirror symmetry for the quartic surface
This proves Kontsevich's mirror conjecture for (on the symplectic side) a quartic surface in P^3.
ERRATUM TO “ π 1 OF SYMPLECTIC AUTOMORPHISM GROUPS AND INVERTIBLES IN QUANTUM HOMOLOGY RINGS ”
The aim of this paper is to establish a connection between the topology of the automorphism group of a symplectic manifold (M,ω) and the quantum product on its homology. More precisely, we assume
Lectures on Four-Dimensional Dehn Twists
  • P. Seidel
  • Mathematics, Computer Science
  • 1 September 2003
TLDR
These are notes from the 2003 C.I.M.E. summer school "symplectic 4-manifolds and algebraic surfaces" covering the same material as the author's Ph.D. thesis.
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