Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Starkston, Laura"'
Autor:
Castro, Nickolas, Islambouli, Gabriel, Min, Jie, Sakallı, Sümeyra, Starkston, Laura, Wu, Angela
We define and study the contact cut graph which is an analogue of Hatcher and Thurston's cut graph for contact geometry, inspired by contact Heegaard splittings. We show how oriented paths in the contact cut graph correspond to Lefschetz fibrations a
Externí odkaz:
http://arxiv.org/abs/2408.05340
Autor:
Islambouli, Gabriel, Starkston, Laura
We show how to encode a Weinstein 4-manifold using a multisection diagram with divides, which is a sequence of cut systems on a surface, together with a separating collection of curves. We give two algorithms to construct a multisection diagram with
Externí odkaz:
http://arxiv.org/abs/2303.00906
Autor:
Golla, Marco, Starkston, Laura
A symplectic rational cuspidal curve with positive self-intersection number admits a concave neighborhood, and thus a corresponding contact manifold on the boundary. In this article, we study symplectic fillings of such contact manifolds, providing a
Externí odkaz:
http://arxiv.org/abs/2111.09700
Autor:
Acu, Bahar, Capovilla-Searle, Orsola, Gadbled, Agnès, Marinković, Aleksandra, Murphy, Emmy, Starkston, Laura, Wu, Angela
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 complement of a corresponding partial smoothing of the toric divisor support
Externí odkaz:
http://arxiv.org/abs/2012.08666
Autor:
Plamenevskaya, Olga, Starkston, Laura
Publikováno v:
Geom. Topol. 27 (2023) 1083-1202
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 Jong-van Straten in [dJvS98]; they associated a germ of a singular pla
Externí odkaz:
http://arxiv.org/abs/2006.06631
Publikováno v:
J. Topol. 14 (2021), no. 2, 641-673
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 on each of the three sectors of the trisection. Along the way, we show
Externí odkaz:
http://arxiv.org/abs/2004.01137
Autor:
Acu, Bahar, Capovilla-Searle, Orsola, Gadbled, Agnès, Marinković, Aleksandra, Murphy, Emmy, Starkston, Laura, Wu, Angela
In this article, we provide an introduction to an algorithm for constructing Weinstein handlebodies for complements of certain smoothed toric divisors using explicit coordinates and a simple example. This article also serves to welcome newcomers to W
Externí odkaz:
http://arxiv.org/abs/2002.07983
Autor:
Golla, Marco, Starkston, Laura
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 corresponding symplectic isotopy problem, with a focus on rational curves with irr
Externí odkaz:
http://arxiv.org/abs/1907.06787
Autor:
Starkston, Laura
The symplectic isotopy conjecture states that every smooth symplectic surface in $CP^2$ is symplectically isotopic to a complex algebraic curve. Progress began with Gromov's pseudoholomorphic curves [Gro85], and progressed further culminating in Sieb
Externí odkaz:
http://arxiv.org/abs/1709.02544
Autor:
Starkston, Laura
Publikováno v:
L. Sel. Math. New Ser. (2018) 24: 4105
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 the Weinstein structure, we produce a Morse-Bott* representative of th
Externí odkaz:
http://arxiv.org/abs/1707.03446