Zobrazeno 1 - 10
of 443
pro vyhledávání: '"53D42"'
Autor:
Oh, Yong-Geun
This is the first of a series of papers in preparation on the Fukaya-type $A_\infty$ category generated by tame Legendrian submanifolds, called the Legendrian contact instanton Fukaya category (abbreviated as the Legendrian CI Fukaya category) and it
Externí odkaz:
http://arxiv.org/abs/2411.13830
Autor:
Ekholm, Tobias
This is an overview paper that describes Eliashberg's Legendrian surgery approach to wrapped Floer cohomology and use it to derive the basic relations between various holomorphic curve theories with additional algebraic constructions. We also give a
Externí odkaz:
http://arxiv.org/abs/2411.12144
Autor:
Okamoto, Yukihiro
For any compact connected submanifold $K$ of $\mathbb{R}^n$, let $\Lambda_K$ denote its unit conormal bundle, which is a Legendrian submanifold of the unit cotangent bundle of $\mathbb{R}^n$. In this paper, we give examples of pairs $(K_0,K_1)$ of co
Externí odkaz:
http://arxiv.org/abs/2410.15936
There have been several attempts in recent years to extend the notions of symplectic and Poisson structures in order to create a suitable geometrical framework for classical field theories, trying to achieve a success similar to the use of these conc
Externí odkaz:
http://arxiv.org/abs/2410.06034
Autor:
Dukic, Milica
We define an SFT-type invariant for Legendrian knots in the standard contact $\mathbb{R}^3$. The invariant is a deformation of the Chekanov-Eliashberg differential graded algebra. The differential consists of a part that counts index zero $J$-holomor
Externí odkaz:
http://arxiv.org/abs/2409.05856
We show that the family of smoothly non-isotopic Legendrian pretzel knots from the work of Cornwell-Ng-Sivek that all have the same Legendrian invariants as the standard unknot have front-spuns that are Legendrian isotopic to the front-spun of the un
Externí odkaz:
http://arxiv.org/abs/2409.00290
Publikováno v:
Geometric Mechanics, vol 01, no 03, pp 209-244 2024
In this paper we study coisotropic reduction in multisymplectic geometry. On the one hand, we give an interpretation of Hamiltonian multivector fields as Lagrangian submanifolds and prove that $k$-coisotropic submanifolds induce a Lie subalgebra in t
Externí odkaz:
http://arxiv.org/abs/2405.12898
Autor:
Guerra IV, Arnoldo, Román-Roy, Narciso
In this paper, we define canonical lifts of vector fields to the multisymplectic multimomentum bundles of De Donder-Weyl Hamiltonian first-order field theories and to the appropriate premultisymplectic embedded constraint submanifolds on which singul
Externí odkaz:
http://arxiv.org/abs/2402.07847
Autor:
Chaidez, Julian, Tanny, Shira
We formulate elementary SFT spectral invariants of a large class of symplectic cobordisms and stable Hamiltonian manifolds, in any dimension. We give criteria for the strong closing property using these invariants, and verify these criteria for Hofer
Externí odkaz:
http://arxiv.org/abs/2312.17211
Autor:
Basu, Maya, Christian, Austin, Clayton, Ethan, Irvine, Daniel, Mooers, Fredrick, Shen, Weizhe
This work applies the ideas of persistent homology to the problem of distinguishing Legendrian knots. We develop a persistent version of Legendrian contact homology by filtering the Chekanov-Eliashberg DGA using the action (height) functional. We pre
Externí odkaz:
http://arxiv.org/abs/2312.09144