3 problems

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Elliptic twist–fibered Dehn twist correspondence conjecture
Let $(X,\widetilde{\omega}_0)$ be a symplectic $4$ -manifold containing a symplectically embedded torus $C\subset X$ of self-intersection $(-1)$ , and let $Y$ be a tubular neighbourh…
Conjectureopenfour-manifolds symplectic-mapping-class-groups symplectic-topologyarXiv posted 2 days ago
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Biran–Giroux conjecture on positive loops and symplectic mapping classes
Let $(M_1,comega_1)$ be the compact part of a symplectic completion $M$ , let $\Sigma$ be its contact-type boundary, and let … be the connecting homomorphism associated with the ide…
Conjectureopencontact-topology symplectic-homology symplectic-mapping-class-groupsarXiv posted 2 days ago
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Persistence conjecture for symplectic mapping groups of the five-point blow-up of the projective plane
Let $X=\mathbb{C}P^2\#5\overline{\mathbb{C}P^2}$ be the five-point blow-up of the complex projective plane, equipped with any symplectic form. Let $\Gamma(X,\omega)$ denote the sym…
Conjectureopenrational-four-manifolds symplectic-geometry symplectic-mapping-class-groupsarXiv posted 2 days ago

Elliptic twist–fibered Dehn twist correspondence conjecture