30 citations · 76 across the 10 of their papers we have counts for
13 papers
Weinstein handlebodies for complements of smoothed toric divisors
Bahar Acu, Orsola Capovilla-Searle, Agnès Gadbled +4
We study the interactions between toric manifolds and Weinstein handlebodies. We define a partially-centered condition on a Delzant polytope, which we prove ensures that the comple…
Unexpected Stein fillings, rational surface singularities, and plane curve arrangements
Olga Plamenevskaya, Laura Starkston
We compare Stein fillings and Milnor fibers for rational surface singularities with reduced fundamental cycle. Deformation theory for this class of singularities was studied by de…
Symplectic 4-manifolds admit Weinstein trisections
Peter Lambert-Cole, Jeffrey Meier, Laura Starkston
We prove that every symplectic 4-manifold admits a trisection that is compatible with the symplectic structure in the sense that the symplectic form induces a Weinstein structure o…
The symplectic isotopy problem for rational cuspidal curves
Marco Golla, Laura Starkston
We define a suitably tame class of singular symplectic curves in 4-manifolds, namely those whose singularities are modeled on complex curve singularities. We study the correspondin…
A new approach to the symplectic isotopy problem
Laura Starkston
The symplectic isotopy conjecture states that every smooth symplectic surface in is symplectically isotopic to a complex algebraic curve. Progress began with Gromov's pseudo…
Arboreal Singularities in Weinstein Skeleta
Laura Starkston
We study the singularities of the isotropic skeleton of a Weinstein manifold in relation to Nadler's program of arboreal singularities. By deforming the skeleton via homotopies of…
Topological realizations of line arrangements
Daniel Ruberman, Laura Starkston
A venerable problem in combinatorics and geometry asks whether a given incidence relation may be realized by a configuration of points and lines. The classic version of this would…
Comparing star surgery to rational blow-down
Laura Starkston
We compare the star surgery operations introduced in [KS] to the generalized rational blow-down. We show that star surgery shares the properties that make rational blow-down useful…
Surgery along star shaped plumbings and exotic smooth structures on 4-manifolds
Cagri Karakurt, Laura Starkston
We define a new 4-dimensional symplectic cut and paste operation which is analogous to Fintushel and Stern's rational blow-down. We use this operation to produce multiple construct…
Symplectic fillings of Seifert fibered spaces
Laura Starkston
We give finiteness results and some classifications up to diffeomorphism of minimal strong symplectic fillings of Seifert fibered spaces over S^2 satisfying certain conditions, wit…
Genus two mutant knots with the same dimension in knot Floer and Khovanov homologies
Allison Moore, Laura Starkston
We exhibit an infinite family of knots with isomorphic knot Heegaard Floer homology. Each knot in this infinite family admits a nontrivial genus two mutant which shares the same to…
The Khovanov homology of (p,-p,q) pretzel knots
Laura Starkston
In this paper, we compute the Khovanov homology over \Q for (p,-p,q) pretzel knots for odd values of p from 3 to 15 and arbitrarily large q. We provide a conjecture for the general…
The spiral index of knots
Colin Adams, William George, Rachel Hudson +4
Two new invariants that are closely related to Milnor's curvature-torsion invariant are introduced. The first, the spiral index of a knot, captures the minimum number of maxima amo…