Lagrangian spheres, symplectic surfaces and the symplectic mapping class group
Given a Lagrangian sphere in a symplectic 4–manifold (M, ω) with b+= 1, we find embedded
symplectic surfaces intersecting it minimally. When the Kodaira dimension κ of (M, ω) is−∞ …
symplectic surfaces intersecting it minimally. When the Kodaira dimension κ of (M, ω) is−∞ …
Symplectic embeddings of polydisks
R Hind, S Lisi - Selecta Mathematica, 2015 - Springer
We show that the polydisk P (1, 2) P (1, 2), the product of disks of areas 1 1 and 2 2, can be
symplectically embedded in a ball B (R) B (R) of capacity RR if and only if R ≥ 3 R≥ 3 …
symplectically embedded in a ball B (R) B (R) of capacity RR if and only if R ≥ 3 R≥ 3 …
Uniqueness of Lagrangians in
N Adaloglou - arXiv preprint arXiv:2201.09299, 2022 - arxiv.org
We present a new and simpler proof of the fact that any Lagrangian $\mathbb {R} P^ 2$ in $
T^*\mathbb {R} P^ 2$ is Hamiltonian isotopic to the zero section. Our proof mirrors the one …
T^*\mathbb {R} P^ 2$ is Hamiltonian isotopic to the zero section. Our proof mirrors the one …
Symplectormophism groups of non-compact manifolds, orbifold balls, and a space of Lagrangians
R Hind, M Pinsonnault, W Wu - arXiv preprint arXiv:1305.7291, 2013 - arxiv.org
We establish connections between contact isometry groups of certain contact manifolds and
compactly supported symplectomorphism groups of their symplectizations. We apply these …
compactly supported symplectomorphism groups of their symplectizations. We apply these …
Elliptic diffeomorphisms of symplectic 4-manifolds
V Shevchishin, G Smirnov - arXiv preprint arXiv:1708.01518, 2017 - arxiv.org
arXiv:1708.01518v2 [math.SG] 20 Jul 2019 Page 1 arXiv:1708.01518v2 [math.SG] 20 Jul 2019
ELLIPTIC DIFFEOMORPHISMS OF SYMPLECTIC 4-MANIFOLDS VSEVOLOD SHEVCHISHIN …
ELLIPTIC DIFFEOMORPHISMS OF SYMPLECTIC 4-MANIFOLDS VSEVOLOD SHEVCHISHIN …
Generalized symplecitc log Calabi-Yau divisors
L Ouyang - 2022 - search.proquest.com
We study the symplectic divisors corresponding to the Hamiltonian circle actions on
symplectic surfaces. Li-Min-Ning showed that counting toric actions on a fixed symplectic …
symplectic surfaces. Li-Min-Ning showed that counting toric actions on a fixed symplectic …
Isotopies of high genus Lagrangian surfaces
R Hind, A Ivrii - arXiv preprint math/0602475, 2006 - arxiv.org
arXiv:math/0602475v1 [math.SG] 21 Feb 2006 Isotopies of high genus Lagrangian surfaces
Page 1 arXiv:math/0602475v1 [math.SG] 21 Feb 2006 Isotopies of high genus Lagrangian …
Page 1 arXiv:math/0602475v1 [math.SG] 21 Feb 2006 Isotopies of high genus Lagrangian …
Courbes symplectiques de haute auto-intersection dans les surfaces symplectiques
F Kütle - arXiv preprint arXiv:2111.04836, 2021 - arxiv.org
We first study symplectically embedded curves in symplectic surfaces with high self-
intersection numbers compared to their genus. We prove in two different ways that such a …
intersection numbers compared to their genus. We prove in two different ways that such a …
Symplectic isotopy classes of ellipsoids and polydisks in dimension greater than four
R Hind - arXiv preprint arXiv:1403.3846, 2014 - arxiv.org
In any dimension $2 n\ge 6$ we show that certain spaces of symplectic embeddings of a
polydisk into a product $ B^ 4\times\Bbb R^{2 (n-2)} $ of a $4 $-ball and Euclidean space …
polydisk into a product $ B^ 4\times\Bbb R^{2 (n-2)} $ of a $4 $-ball and Euclidean space …
[图书][B] Symplectomorphism groups of weighted projective spaces and related embedding spaces
ML VanHoof - 2013 - search.proquest.com
In this thesis, we study 4-dimensional weighted projective spaces and homotopy properties
of their symplectomorphism groups. Using these computations, we also investigate some …
of their symplectomorphism groups. Using these computations, we also investigate some …