Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Solomon, Jake"'
Autor:
Sela, May, Solomon, Jake P.
We define a normed matrix factorization category and a notion of bounding cochains for objects of this category. We classify bounding cochains up to gauge equivalence for spherical objects and use this classification to define numerical invariants. T
Externí odkaz:
http://arxiv.org/abs/2412.04437
We prove orientation results for evaluation maps of moduli spaces of rational stable maps to del Pezzo surfaces over a field, both in characteristic $0$ and in positive characteristic. These results and the theory of degree developed in a sequel prod
Externí odkaz:
http://arxiv.org/abs/2307.01941
We define a quadratically enriched count of rational curves in a given divisor class passing through a collection of points on a del Pezzo surface $S$ of degree $\geq 3$ over a perfect field $k$ of characteristic $\neq 2,3.$ When $S$ is $\mathbb{A}^1
Externí odkaz:
http://arxiv.org/abs/2307.01936
We compute the open Gromov-Witten disk invariants and the relative quantum cohomology of the Chiang Lagrangian $L_\triangle \subset \mathbb{C}P^3$. Since $L_\triangle$ is not fixed by any anti-symplectic involution, the invariants may augment straigh
Externí odkaz:
http://arxiv.org/abs/2305.03016
Autor:
Kedar, Or, Solomon, Jake P.
Let $L\subset X$ be a not necessarily orientable relatively $Pin$ Lagrangian submanifold in a symplectic manifold $X$. We construct a family of cyclic unital curved $A_\infty$ structures on differential forms on $L$ with values in the local system of
Externí odkaz:
http://arxiv.org/abs/2211.05439
Autor:
Kedar, Or, Solomon, Jake P.
Let $L\subset X$ be a not necessarily orientable relatively $Pin$ Lagrangian submanifold in a symplectic manifold $X$. Evaluation maps of moduli spaces of $J$-holomorphic disks with boundary in $L$ may not be relatively orientable. To deal with this
Externí odkaz:
http://arxiv.org/abs/2211.05117
Autor:
Solomon, Jake P., Tukachinsky, Sara B.
Motivated by symplectic geometry, we give a detailed account of differential forms and currents on orbifolds with corners, the pull-back and push-forward operations, and their fundamental properties. We work within the formalism where the category of
Externí odkaz:
http://arxiv.org/abs/2011.10030
Autor:
Solomon, Jake P., Yuval, Amitai M.
We construct families of imaginary special Lagrangian cylinders near transverse Maslov index $0$ or $n$ intersection points of positive Lagrangian submanifolds in a general Calabi-Yau manifold. Hence, we obtain geodesics of open positive Lagrangian s
Externí odkaz:
http://arxiv.org/abs/2010.12293
Autor:
Solomon, Jake P., Yuval, Amitai M.
Geodesics in the space of positive Lagrangian submanifolds are solutions of a fully non-linear degenerate elliptic PDE. We show that a geodesic segment in the space of positive Lagrangians corresponds to a one parameter family of special Lagrangian c
Externí odkaz:
http://arxiv.org/abs/2006.06058
Autor:
Solomon, Jake P., Tukachinsky, Sara B.
We establish a system of PDE, called open WDVV, that constrains the bulk-deformed superpotential and associated open Gromov-Witten invariants of a Lagrangian submanifold $L \subset X$ with a bounding chain. Simultaneously, we define the quantum cohom
Externí odkaz:
http://arxiv.org/abs/1906.04795