Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Golovko, Roman"'
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
Autor:
Golovko, Roman
Publikováno v:
Geom Dedicata 217, 104 (2023)
In this note we construct augmentations of Chekanov-Eliashberg algebras of certain high dimensional Legendrian submanifolds that are not induced by exact Lagrangian fillings. The obstructions to the existence of exact Lagrangian fillings that we use
Externí odkaz:
http://arxiv.org/abs/2211.01965
Autor:
Golovko, Roman
Publikováno v:
Journal of Knot Theory and Its Ramifications, Vol. 32, No. 07, 2350056 (2023)
In this short note we discuss certain examples of Legendrian submanifolds, whose linearized Legendrian contact (co)homology groups over integers have non-vanishing algebraic torsion. More precisely, for a given arbitrary finitely generated abelian gr
Externí odkaz:
http://arxiv.org/abs/2210.09203
Autor:
Golovko, Roman
Publikováno v:
Pacific J. Math. 317 (2022) 143-152
In this short note we discuss high-dimensional examples of Legendrian submanifolds of the standard contact Euclidean space with an infinite number of exact Lagrangian fillings up to Hamiltonian isotopy. They are obtained from the examples of Casals a
Externí odkaz:
http://arxiv.org/abs/2109.03165
Publikováno v:
Algebr. Geom. Topol. 21 (2021) 665-695
The Legendrian product of two Legendrian knots, as defined by Lambert-Cole, is a Legendrian torus. We show that this Legendrian torus is a twist spun whenever one of the Legendrian knot components is sufficiently large. We then study examples of Lege
Externí odkaz:
http://arxiv.org/abs/1905.01484
By a result due to Ziltener, there exist no closed embedded Bohr-Sommerfeld Lagrangians inside $\mathbb CP^n$ for the prequantisation bundle whose total space is the standard contact sphere. On the other hand, any embedded monotone Lagrangian torus h
Externí odkaz:
http://arxiv.org/abs/1901.08415
We prove that the wrapped Fukaya category of any $2n$-dimensional Weinstein manifold (or, more generally, Weinstein sector) $W$ is generated by the unstable manifolds of the index $n$ critical points of its Liouville vector field. Our proof is geomet
Externí odkaz:
http://arxiv.org/abs/1712.09126
Given a $1$-cohomology class $u$ on a closed manifold $M$, we define a Novikov fundamental group associated to $u$, generalizing the usual fundamental group in the same spirit as Novikov homology generalizes Morse homology to the case of non exact $1
Externí odkaz:
http://arxiv.org/abs/1710.10353
We show that a generic Hamiltonian diffeomorphism on a closed symplectic manifold which is symplectically aspherical has at least the stable Morse number of fixed points - this is in line with a conjecture by Arnold.
Comment: 12 pages, reorganiz
Comment: 12 pages, reorganiz
Externí odkaz:
http://arxiv.org/abs/1609.04776
To a differential graded algebra with coefficients in a noncommutative algebra, by dualisation we associate an $A_\infty$-category whose objects are augmentations. This generalises the augmentation category of Bourgeois and Chantraine to the noncommu
Externí odkaz:
http://arxiv.org/abs/1603.04253