66 citations · 121 across the 17 of their papers we have counts for
17 papers
Embedding more than 8 symplectic balls in
Sílvia Anjos, Jarek Kędra, Martin Pinsonnault
We prove that the space of symplectic embeddings of standard balls into the standard complex projective plane , normalized so that a line has symp…
J-tamed inflation via tame to compatible deformations
Pranav Chakravarthy, Jordan Payette, Martin Pinsonnault
We give a complete and self-contained exposition of the -tame inflation lemma: Given any tame almost complex structure on a symplectic -manifold , and given any co…
Embeddings of symplectic balls into the complex projective plane
Sílvia Anjos, Jarek Kędra, Martin Pinsonnault
We investigate spaces of symplectic embeddings of balls into the complex projective plane. We prove that they are homotopy equivalent to explicitly described algebraic su…
Centralizers of Hamiltonian finite cyclic group actions on rational ruled surfaces
Pranav V. Chakravarthy, Martin Pinsonnault
Let be either the product or the non-trivial bundle over endowed with any symplectic form . Suppose a finite cyclic group is acting e…
Centralizers of Hamiltonian circle actions on rational ruled surfaces
Pranav Chakravarthy, Martin Pinsonnault
In this paper, we compute the homotopy type of the group of equivariant symplectomorphisms of and under the presence of…
Stability of the symplectomorphism group of rational surfaces
Silvia Anjos, Jun Li, Tian-Jun Li +1
We apply Zhang's almost Kähler Nakai-Moishezon theorem and Li-Zhang's comparison of -symplectic cones to establish a stability result for the symplectomorphism group of a ration…
Loops in the fundamental group of which are not represented by circle actions
Sílvia Anjos, Miguel Barata, Martin Pinsonnault +1
We study generators of the fundamental group of the group of symplectomorphisms for some particul…
Counting toric actions on symplectic four-manifolds
Yael Karshon, Liat Kessler, Martin Pinsonnault
Given a symplectic manifold, we ask in how many different ways can a torus act on it. Classification theorems in equivariant symplectic geometry can sometimes tell that two Hamilto…
Semi-classical properties of Berezin--Toeplitz operators with $\cC^k$--\,symbol
Tatyana Barron, Xiaonan Ma, George Marinescu +1
We obtain the semi-classical expansion of the kernels and traces of Toeplitz operators with $\cC^k$--\,symbol on a symplectic manifold. We also give a semi-classical estimate of th…
Symplectormophism groups of non-compact manifolds, orbifold balls, and a space of Lagrangians
Richard Hind, Martin Pinsonnault, Weiwei Wu
We establish connections between contact isometry groups of certain contact manifolds and compactly supported symplectomorphism groups of their symplectizations. We apply these res…
The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane
Sílvia Anjos, Martin Pinsonnault
By a result of Kedra and Pinsonnault, we know that the topology of groups of symplectomorphisms of symplectic 4-manifolds is complicated in general. However, in all known (very spe…
Packing numbers of rational ruled 4-manifolds
Olguta Buse, Martin Pinsonnault
We completely solve the symplectic packing problem with equally sized balls for any rational, ruled, symplectic 4-manifolds. We give explicit formulae for the packing numbers, the…
The homotopy type of the space of symplectic balls in rational ruled 4-manifolds
Silvia Anjos, Francois Lalonde, Martin Pinsonnault
Let M:=(M^{4},\om) be a 4-dimensional rational ruled symplectic manifold and denote by w_{M} its Gromov width. Let Emb_ω(B^{4}(c),M) be the space of symplectic embeddings of the st…
Maximal compact tori in the Hamiltonian groups of 4-dimensional symplectic manifolds
Martin Pinsonnault
We prove that the group of Hamiltonian automorphisms of a symplectic 4-manifold contains only finitely many conjugacy classes of maximal compact tori with respect to the action of…
A compact symplectic four-manifold admits only finitely many inequivalent toric actions
Yael Karshon, Liat Kessler, Martin Pinsonnault
Let (M,ω) be a four dimensional compact connected symplectic manifold. We prove that (M,ω) admits only finitely many inequivalent Hamiltonian effective 2-torus actions. Consequentl…
Symplectomorphism groups and embeddings of balls into rational ruled 4-manifolds
Martin Pinsonnault
Let be any rational ruled symplectic four-manifold. Given a symplectic embedding $ι:B_{c}\into X$ of the standard ball of capacity into , consider the corresponding symp…
The topology of the space of symplectic balls in rational 4-manifolds
Francois Lalonde, Martin Pinsonnault
We study in this paper the rational homotopy type of the space of symplectic embeddings of the standard ball into 4-dimensional rational symplectic manifolds.…