93 citations · 93 across the 4 of their papers we have counts for
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The symplectic topology of Ramanujam's surface
Paul Seidel, Ivan Smith
Ramanujam's surface M is a contractible affine algebraic surface which is not homeomorphic to the affine plane. For any m>1 the product M^m is diffeomorphic to Euclidean space R^{4…
A link invariant from the symplectic geometry of nilpotent slices
Paul Seidel, Ivan Smith
Using the symplectic geometry of certain manifolds which appear naturally in Lie theory, we define an invariant which assigns a graded abelian group to an oriented link. The releva…
Lectures on four-dimensional Dehn twists
Paul Seidel
These are notes from the 2003 C.I.M.E. summer school "symplectic 4-manifolds and algebraic surfaces". They cover the same material as the author's (by now ancient) Ph.D. thesis.
Fukaya categories and deformations
Paul Seidel
This is an informal (and mostly conjectural) discussion of some aspects of Fukaya categories. We start by looking at exact symplectic manifolds which are obtained from a closed Cal…
Braids and symplectic four-manifolds with abelian fundamental group
Paul Seidel
We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with . As a concrete example, we look at four-manifolds produced from braids b…
A long exact sequence for symplectic Floer cohomology
Paul Seidel
The long exact sequence describes how the Floer cohomology of two Lagrangian submanifolds changes if one of them is modified by applying a Dehn twist. We give a proof in the simple…