Zobrazeno 1 - 10
of 59
pro vyhledávání: '"53D40, 53D12"'
Autor:
Cant, Dylan, Zhang, Jun
The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian submanifold, and of certain contact-type hypersurfaces, are shown to have uniformly
Externí odkaz:
http://arxiv.org/abs/2409.14142
This is a corrigendum of Lemma 9.1 of the paper [FOOO3] in the title. This lemma is not correct as pointed out by A. Daemi and a referee of the paper [DF]. The corrigendum does not affect the applications of this lemma in [FOOO3] and other papers and
Externí odkaz:
http://arxiv.org/abs/2403.19683
Autor:
Smith, Jack
Given a monotone Lagrangian $L$ in a compact symplectic manifold $X$, we construct a commutative diagram relating the closed-open string map $CO_\lambda : QH^*(X) \to HH^*(\mathcal{F}(X)_\lambda)$ to a variant of the length-zero closed-open map on $L
Externí odkaz:
http://arxiv.org/abs/2308.03438
Autor:
Gong, Wenmin
In this note we give a short proof of Arnold's conjecture for the zero section of a cotangent bundle of a closed manifold. The proof is based on some basic properties of Lagrangian spectral invariants from Floer theory.
Comment: Published versio
Comment: Published versio
Externí odkaz:
http://arxiv.org/abs/2112.10156
A Gelfand-Cetlin system is a completely integrable system defined on a partial flag manifold whose image is a rational convex polytope called a Gelfand-Cetlin polytope. Motivated by the study of Nishinou-Nohara-Ueda on the Floer theory of Gelfand-Cet
Externí odkaz:
http://arxiv.org/abs/1911.04132
Autor:
Mak, Cheuk Yu, Smith, Ivan
Let $\omega$ denote an area form on $S^2$. Consider the closed symplectic 4-manifold $M=(S^2\times S^2, A\omega \oplus a \omega)$ with $0
Externí odkaz:
http://arxiv.org/abs/1909.09924
Autor:
Viterbo, Claude
Given an exact Lagrangian submanifold $L$ in $T^*N$, we want to construct a complex of sheaves in the derived category of sheaves on $N\times {\mathbb R} $, such that its singular support, $SS({\mathcal F}^\bullet_L)$, is equal to $\widehat L$, the c
Externí odkaz:
http://arxiv.org/abs/1901.09440
Autor:
Mak, Cheuk Yu, Wu, Weiwei
We study Dehn twists along Lagrangian submanifolds that are finite quotients of spheres. We decribe the induced auto-equivalences to the derived Fukaya category and explain its relation to twists along spherical functors.
Comment: Comments are v
Comment: Comments are v
Externí odkaz:
http://arxiv.org/abs/1810.06533
Motivated by the study of Nishinou-Nohara-Ueda on the Floer thoery of Gelfand-Cetlin systems over complex partial flag manifolds, we provide a complete description of the topology of Gelfand-Cetlin fibers. We prove that all fibers are \emph{smooth} i
Externí odkaz:
http://arxiv.org/abs/1704.07213
Autor:
Smith, Jack
This paper studies the self-Floer theory of a monotone Lagrangian submanifold $L$ of a symplectic manifold $X$ in the presence of various kinds of symmetry. First we suppose $L$ is $K$-homogeneous and compute the image of low codimension $K$-invarian
Externí odkaz:
http://arxiv.org/abs/1703.05343