# Smooth versus symplectic circle actions

Source: [Smooth versus symplectic circle actions](<https://www.sota2.com/research/paper/68fa4ff41e209131ce967947>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-28T13:55:27.865Z

Authors: {\\L}ukasz B\\k{a}k

Published: 2012-11-12T14:42:05.000Z

## Abstract

We construct a 6-manifold M which admits a smooth circle action and a symplectic form w such that if w' is another symplectic form on M equivalent to w, then (M,w') does not admit a symplectic circle action.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/1211.2640>)

[PDF](<https://arxiv.org/pdf/1211.2640.pdf>)