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20002004
most citedSymplectic surgeries from singularities

25 citations · 26 across the 7 of their papers we have counts for

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11 papers · 1 filter

math.SG2004

Monodromy, vanishing cycles, knots and the adjoint quotient

Ivan Smith

These are notes from lectures given at the Clay Institute Summer School on "Floer homology, gauge theory and low-dimensional topology" (Budapest, 2004). The first part describes as…

math.SG2004

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…

math.SG2004

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…

math.SG2004

Lefschetz pencils, branched covers and symplectic invariants

Denis Auroux, Ivan Smith

This set of lectures aims to give an overview of Donaldson's theory of linear systems on symplectic manifolds and the algebraic and geometric invariants to which they give rise. Af…

math.SG2003

Symplectic four-manifolds and conformal blocks

Ivan Smith

We apply ideas from conformal field theory to study symplectic four-manifolds, by using modular functors to "linearise" Lefschetz fibrations. In Chern-Simons theory this leads to t…

math.SG200325 cited

Symplectic surgeries from singularities

I. Smith, R. P. Thomas

We describe a variety of symplectic surgeries (not a priori compatible with Kahler structures) which are obtained by combining local Kahler degenerations and resolutions of singula…