Zobrazeno 1 - 10
of 100
pro vyhledávání: '"53D12, 53D40"'
Autor:
Oganesyan, Vardan
We construct a monotone spin Lagrangian cobordism from L to (L_1, L_2) such that there is no monotone spin Lagrangian cobordism from L to (L_2, L_1), where L, L_1, L_2 are Lagrangians of CP^7.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2411.05724
Autor:
Chanda, Soham
We construct a new surgery type operation by switching between two exact fillings of Legendrians which we call a BSP surgery. In certain cases, this surgery can preserve monotonicity of Lagrangians. We prove a wall-crossing type formula for the chang
Externí odkaz:
http://arxiv.org/abs/2409.11603
Publikováno v:
SIGMA 20 (2024), 109, 13 pages
Suppose you have a family of Lagrangian submanifolds $L_t$ and an auxiliary Lagrangian $K$. Suppose that $K$ intersects some of the $L_t$ more than the minimal number of times. Can you eliminate surplus intersection (surplusection) with all fibres by
Externí odkaz:
http://arxiv.org/abs/2408.14883
Autor:
Hohloch, Sonja
Let $(M \omega)$ be a two dimensional symplectic manifold, $\phi: M \to M$ a symplectomorphism with hyperbolic fixed point $x$ and transversely intersecting stable and unstable manifolds $W^s(\phi, x) \cap\ W^u(\phi, x)=:\mathcal{H}(\phi, x)$. The in
Externí odkaz:
http://arxiv.org/abs/2402.12345
Autor:
Smith, Jack
Given a closed, orientable Lagrangian submanifold $L$ in a symplectic manifold $(X, \omega)$, we show that if $L$ is relatively exact then any Hamiltonian diffeomorphism preserving $L$ setwise must preserve its orientation. In contrast to previous re
Externí odkaz:
http://arxiv.org/abs/2401.03356
We study lower semi-continuity properties of the volume, i.e., the surface area, of a closed Lagrangian manifold with respect to the Hofer- and $\gamma$-distance on a class of monotone Lagrangian submanifolds Hamiltonian isotopic to each other. We pr
Externí odkaz:
http://arxiv.org/abs/2210.04357
Autor:
Živanović, Filip
We obtain families of non-isotopic closed exact Lagrangian submanifolds in quasi-projective holomorphic symplectic manifolds that admit contracting $\mathbb{C}^*$-actions. We show that the Floer cohomologies of these Lagrangians are topological in na
Externí odkaz:
http://arxiv.org/abs/2206.06361
Autor:
Li, Yang
The main theme of this paper is the Thomas-Yau conjecture, primarily in the setting of exact, (quantitatively) almost calibrated, unobstructed Lagrangian branes inside Calabi-Yau Stein manifolds. In our interpretation, the conjecture is that Thomas-Y
Externí odkaz:
http://arxiv.org/abs/2203.01467
Given a Lagrangian submanifold $L$ in a symplectic manifold $X$, the homological Lagrangian monodromy group $\mathcal{H}_L$ describes how Hamiltonian diffeomorphisms of $X$ preserving $L$ setwise act on $H_*(L)$. We begin a systematic study of this g
Externí odkaz:
http://arxiv.org/abs/2201.10507
Autor:
Gong, Wenmin
We prove a degenerate homological Arnol'd conjecture on Lagrangian intersections beyond the case studied by A. Floer and H. Hofer via a new version of Lagrangian Ljusternik--Schnirelman theory. We introduce the notion of (Lagrangian) fundamental quan
Externí odkaz:
http://arxiv.org/abs/2111.15442