Zobrazeno 1 - 7
of 7
pro vyhledávání: '"53D12 (Primary) 53D42 (Secondary)"'
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:
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:
Journal of Symplectic Geometry, Volume 16, Number 5, 1209-1248, 2018
Assume that we are given a closed chord-generic Legendrian submanifold $\Lambda \subset P \times \mathbb R$ of the contactisation of a Liouville manifold, where $\Lambda$ moreover admits an exact Lagrangian filling $L_{\Lambda} \subset \mathbb R \tim
Externí odkaz:
http://arxiv.org/abs/1510.08838
Publikováno v:
Int. J. Math. 25, 1450098 (2014) [24 pages]
We show that an exact Lagrangian cobordism $L\subset \mathbb R \times P \times \mathbb R$ from a Legendrian submanifold $\Lambda\subset P\times \mathbb R$ to itself satisfies $H_i(L;\mathbb F)=H_i(\Lambda;\mathbb F)$ for any field $\mathbb F$ in the
Externí odkaz:
http://arxiv.org/abs/1310.1577
Autor:
Roman Golovko
Publikováno v:
Pacific Journal of Mathematics. 317:143-152
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
Publikováno v:
Journal of Symplectic Geometry. 16:1209-1248
Assume that we are given a closed chord-generic Legendrian submanifold $\Lambda \subset P \times \mathbb R$ of the contactisation of a Liouville manifold, where $\Lambda$ moreover admits an exact Lagrangian filling $L_{\Lambda} \subset \mathbb R \tim
Publikováno v:
International Journal of Mathematics
We show that an exact Lagrangian cobordism $L\subset \mathbb R \times P \times \mathbb R$ from a Legendrian submanifold $\Lambda\subset P\times \mathbb R$ to itself satisfies $H_i(L;\mathbb F)=H_i(\Lambda;\mathbb F)$ for any field $\mathbb F$ in the