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Symplectic isotopy on non-minimal ruled surfaces

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arxiv 2010.04616 v2 pith:O2SAW6KZ submitted 2020-10-09 math.SG

Olguta Buse , Jun Li This is my paper · ORCID
classification math.SG
keywords diffomegaruledsurfacessympblow-upcolimitdehn
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abstract

We prove the stability of $Symp(X,\omega)\cap Diff_0(X)$ for a one-point blow-up of irrational ruled surfaces and study their topological colimit. Non-trivial generators of $\pi_0[Symp(X,\omega)\cap Diff_0(X)]$ that differ from Lagrangian Dehn twists are detected.

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  1. A Memory Efficient Adjoint Method to Enable Billion Parameter Optimization on a Single GPU in Dynamic Problems

    cs.CE 2025-09 conditional novelty 7.0 of 10

    A superposition of forward and adjoint wavefields with a scaling factor lets the authors approximate the optimization sensitivity using O(number of grid points) memory instead of O(steps times grid points).

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