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9781470473433 Academic Inspection Copy

Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces

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The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.
Pranav V. Chakravarthy, Universite Libre de Bruxelles, Belgium. Martin Pinsonnault, The University of Western Ontario, London, Ontario, Canada.
Chapters 1. Introduction 2. Hamiltonian torus actions on ruled $4$-manifolds 3. Action of $\operatorname {Symp}^{S^1}(S^{2} \times S^{2},\omega _{\lambda })$ on $\mathcal {J}^{S^1}_{\omega _{\lambda }}$ 4. The homotopy type of the symplectic centralisers of $S^1(a,b;m)$ 5. Partition of the space of invariant almost-complex structures 6. Circle actions on $\mathbb {C}P^{2}\# \overline {\mathbb {C}P^{2}}$ A. Equivariant versions of classical results from Differential Topology B. Equivariant automorphism groups C. $J$-Holomorphic configurations and equivariant Gompf argument D. Alexander-Eells isomorphism
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