Towards a Floer theory for Mars II -- Floer Hessian field almost extends

2026/06/13 by Urs Frauenfelder, Joa Weber · 1 voice · 1 citation
Mathematics · Physics and Astronomy · #math.SG #math-ph #math.AP #math.DS

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Abstract

In part I, \citeFrauenfelder:2026c, we showed that collisional periodic orbits of twisted Zeeman systems can be detected variationally by a non-local Hamiltonian action functional. In this part II we show that the linearized gradient flow of this non-local functional is a Fredholm operator and prove a non-local elliptic regularity result. These results are obtained with the theory of almost extendability of weak Hessian fields introduced in \citeFrauenfelder:2025g.

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Discussions

• Urs Frauenfelder, Joa Weber: Towards a Floer theory for Mars II -- Floer Hessian field almost extends https://arxiv.org/abs/2606.15511 https://arxiv.org/pdf/2606.15511 https://arxiv.org/html/2606.1551 [bsky, 0 points, 0 comments]

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