Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces

Pranav V. Chakravarthy, Martin Pinsonnault

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English

American Mathematical Society
30 June 2025

Geometry; Topology

Series: Memoirs of the American Mathematical Society

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.

By: Pranav V. Chakravarthy, Martin Pinsonnault
Imprint: American Mathematical Society
Country of Publication: United States [Currently unable to ship to USA: see Shipping Info]
ISBN: 9781470473433
ISBN 10: 1470473437
Series: Memoirs of the American Mathematical Society
Pages: 97
Publication Date: 30 June 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

Pranav V. Chakravarthy, Universite Libre de Bruxelles, Belgium. Martin Pinsonnault, The University of Western Ontario, London, Ontario, Canada.