On the rank of \(\pi_1\)(Ham)

DOI10.2140/agt.2022.22.1325zbMath1501.53090arXiv2008.11085OpenAlexW4293799691WikidataQ114045617 ScholiaQ114045617MaRDI QIDQ2172190

Andrés Pedroza

Publication date: 15 September 2022

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2008.11085

zbMATH Keywords

Hamiltonian group of diffeomorphismsWeinstein functional

Mathematics Subject Classification ID

Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global theory of symplectic and contact manifolds (53D35) Topological properties of groups of homeomorphisms or diffeomorphisms (57S05)

Cites Work

• The homotopy Lie algebra of symplectomorphism groups of 3-fold blow-ups of the projective plane
• Compactly supported Hamiltonian loops with a non-zero Calabi invariant
• The topology of the space of symplectic balls in rational 4-manifolds
• Symplectic mapping class groups of some Stein and rational surfaces
• Pseudo holomorphic curves in symplectic manifolds
• Cohomology of symplectomorphism groups and critical values of Hamiltonians
• \(\pi_1\) of symplectic automorphism groups and invertibles in quantum homology rings
• Hamiltonian loops on the symplectic one-point blow up
• The homotopy Lie algebra of symplectomorphism groups of 3-fold blowups of \((S^2\times S^2,\sigma_{\text{std}}\oplus\sigma_{\text{std}})\)
• Symplectic \((-2)\)-spheres and the symplectomorphism group of small rational 4-manifolds
• The symplectomorphism group of a blow up
• Seidel's Representation on the Hamiltonian Group of a Cartesian Product
• Topology of symplectomorphism groups of rational ruled surfaces
• Diffeomorphisms of the 2-Sphere
• Fukaya categories of surfaces, spherical objects and mapping class groups

This page was built for publication: On the rank of \(\pi_1\)(Ham)