Hasil untuk "math.SG"

Sauvik Mukherjee

We show by a counter example that any Liouville filling of a ADC closed contact manifold does not have isomorphic integral cohomologies.

Tomohiro Asano, Yuichi Ike

We show a strong Hamiltonian stability result for a simpler and larger distance on the Tamarkin category. We also give a stability result with support conditions.

Paul-Emile Paradan

In this note, we show that the Horn cone associated with symplectic eigenvalues admits the same inequalities as the classical Horn cone, except that the equality corresponding to Tr(C) = Tr(A)+Tr(B) is replaced by the inequality corresponding to Tr(C) $\ge$ Tr(A)+Tr(B).

Andrés Pedroza

We prove that the fundamental group of the group of Hamiltonian diffeomorphisms of the symplectic manifold that is obtain by blowing up a submanifold contains an element of infinite order. We prove this using Weinstein's morphism and by constructing explicitly such loop of Hamiltonian diffeomorphisms.

Thomas Machon

Morse-type inequalities are given for the symplectic versions of the Bott-Chern and Aeppli cohomology groups defined by Tseng and Yau.

Ethan Ross

In this paper we define an action by the symplectomorphisms on a symplectic manifold on the space of real singular polarizations. It is then shown that under some topological conditions, this action preserves quantization by a fixed prequantum line bundle.

Felix Schlenk

I describe some of McDuff's contributions to symplectic geometry, with a focus on symplectic embedding problems.

Yanki Lekili, David Treumann

This paper discusses homological mirror symmetry for the Fargues-Fontaine curve of equal characteristic.

Paul Seidel

We (re)consider how the Fukaya category of a Lefschetz fibration is related to that of the fibre. The distinguishing feature of the approach here is a more direct identification of the bimodule homomorphism involved.

Beijia Zhou

I give precise iteration formulae for brake orbit in dimension 3 and use these formulae to get some index inequalities for moduli spaces of Real pseudoholomorphic Curves, which are important to establish Real embedded contact homology and Real cylindrical contact homology in dimension 3.

Alexandre Perrier

We study Lagrangian cobordism groups of oriented surfaces of genus greater than two. We compute the immersed oriented Lagrangian cobordism group of these surfaces. We show that a variant of this group, with relations given by unobstructed immersed Lagrangian cobordisms computes the Grothendieck group of the derived Fukaya category. The proof relies on an argument of Abouzaid.

Gang Liu

We define the nonlinear part of a new filled section for Gromov-Witten theory in the setting of the usual Banach analysis rather than of ployfold theory and prove that the filled-section so defined is of class $C^1$.

Gang Liu

In this paper we generalize the higher-degree smoothness results in perturbation theory from the case that the stable maps have the fixed domain $S^2$ to the general genus zero case.

Joel W. Fish, Helmut Hofer

Notes for the upcoming Workshop on Symplectic Field Theory IX, Polyfolds for SFT. These notes are essentially the first few chapters of a forthcoming book entitled "Polyfold Constructions: Tools, Techniques, and Functors"

Kentaro Mikami

Using Crystal basis theory, we study the relative Gel'fand-Kalinin-Fuks cohomology groups of the formal Hamiltonian vector fields on 6-dimensional plane with weight =2,4,6.

Aleksey Zinger

This note collects a number of standard statements in Riemannian geometry and in Sobolev-space theory that play a prominent role in analytic approaches to symplectic topology. These include relations between connections and complex structures, estimates on exponential-like maps, and dependence of constants in Sobolev and elliptic estimates.

Richard Hind

We estimate the Hamiltonian displacement energy of a bidisk inside a cylinder.

Pablo Ramacher

This is the second of a series of papers dealing with the asymptotic behavior of certain integrals occuring in the description of the spectrum of an invariant elliptic operator on a compact Riemannian manifold carrying the action of a compact, connected Lie group of isometries, and in the study of its equivariant cohomology via the moment map.

Claude Viterbo

The paper is wihdrawn due to a critical error in the argument using the spectral sequence

Stipsicz, Andras I

We determine topological properties of Stein domains with boundary diffeomorphic to T^3, S^1\times S^2 and some Seifert fibered 3-manifolds.