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A note on a nontrivial connected component of the space of symplectic structures

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arxiv 2410.16216 v2 pith:EWSRFUEK submitted 2024-10-21 math.SG math.GT

Luya Wang This is my paper · ORCID
classification math.SGmath.GT
keywords componentconnectednontrivialnotespacestructuressymplecticdimension
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This note provides the first example of a nontrivial connected component of the space of symplectic structures standard at infinity in dimension four.

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  1. Infinite connected components of the space of symplectic forms on ruled surfaces

    math.SG 2025-07 conditional novelty 8.0 of 10

    For every ruled surface over a positive-genus base surface, the space of symplectic forms in any class of positive self-intersection has infinitely many connected components.

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