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math.SG2025
Non-squeezing and other global rigidity results in locally conformal symplectic geometry
Mélanie Bertelson, Pranav Chakravarthy, Sheila Sandon
Using generating functions quadratic at infinity for Lagrangian submanifolds of twisted cotangent bundles, we define spectral selectors for compactly supported lcs Hamiltonian diff…
math.SG2025
Almost toric fibrations on symplectic blow ups
Pranav Chakravarthy, Yoel Groman
Given a symplectic 4-manifold with an almost toric fibration and a symplectic ball embedding whose image under the moment map is contained in an affine convex set R, we produce a s…
math.SG2025
Almost toric fibrations on K3 surfaces via degenerations
Pranav Chakravarthy, Yoel Groman
For Kähler K3 surfaces we consider Kulikov models of type III tamed by a symplectic form. Our main result shows that the generic smooth fiber admits an almost toric fibration over…