Zobrazeno 1 - 10
of 13
pro vyhledávání: '"Janko Latschev"'
In this article we describe an algebraic framework which can be used in three related but different contexts: string topology, symplectic field theory, and Lagrangian Floer theory of higher genus. It turns out that the relevant algebraic structure fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8a41fb9af937aa3a704b2358e3327b0
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/83576
https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/83576
Publikováno v:
Journal de l’École polytechnique — Mathématiques. 4:661-780
The conormal Lagrangian LK of a knotK in R3 is the submanifold of the cotangent bundle T ∗R3 consisting of covectors along K that annihilate tangent vectors to K. By intersecting with the unit cotangent bundle S∗R3, one obtains the unit conormal
Publikováno v:
Geom. Topol. 17, no. 5 (2013), 2813-2853
We show that every 4-dimensional torus with a linear symplectic form can be fully filled by one symplectic ball. If such a torus is not symplectomorphic to a product of 2-dimensional tori with equal sized factors, then it can also be fully filled by
Publikováno v:
Geometric and Functional Analysis. 21:1144-1195
We extract a nonnegative integer-valued invariant, which we call the "order of algebraic torsion", from the Symplectic Field Theory of a closed contact manifold, and show that its finiteness gives obstructions to the existence of symplectic fillings
Publikováno v:
IRMA Lectures in Mathematics and Theoretical Physics ISBN: 9783037191538
Free Loop Spaces in Geometry and Topology: Including the monograph Symplectic cohomology and Viterbo’s theorem by Mohammed Abouzaid
Free Loop Spaces in Geometry and Topology: Including the monograph Symplectic cohomology and Viterbo’s theorem by Mohammed Abouzaid
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::aab5fd60abd626c28c90855d909c4fc0
https://doi.org/10.4171/153
https://doi.org/10.4171/153
Autor:
Janko Latschev
Publikováno v:
manuscripta mathematica. 121:293-315
We describe a homological criterion for the existence of a closed form transverse to a foliation which is allowed to have certain tame singularities, generalizing results in the nonsingular case by Sullivan. As illustrations of the method, we derive
Autor:
Janko Latschev
Publikováno v:
Topology. 45:707-723
Let a smooth vector field V on a smooth closed manifold M be given and let Z⊂M be an isolated invariant set for the flow of V. In this situation, we give a necessary and sufficient condition for the existence of a Lyapunov 1-form for (V,Z) in terms
Publikováno v:
FIM's preprints
In this paper we find conditions which guarantee that a given flow $\Phi$ on a compact metric space $X$ admits a Lyapunov one-form $\omega$ lying in a prescribed \v{C}ech cohomology class $\xi\in \check H^1(X;\R)$. These conditions are formulated in
Autor:
Janko Latschev
Publikováno v:
Mathematische Annalen. 318:731-759
Publikováno v:
J. Symplectic Geom. 8, no. 3 (2010), 267-298
We prove a compactness result for holomorphic curves with boundary on an immersed Lagrangian submanifold with clean self-intersection. As a consequence, we show that the number of intersections of such holomorphic curves with the self-intersection lo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3c7f4ad48e528651dac325db15fac2ce
http://projecteuclid.org/euclid.jsg/1283865584
http://projecteuclid.org/euclid.jsg/1283865584