Cliff-wall surgery and vanishing of basic phase function for contractible topological Hamiltonian loop

2012/06/04 by Yong-Geun Oh, Yong‐Geun Oh, Oh, Yong-Geun
Mathematics · Physics and Astronomy · #28D10 #53D05 #53D35 #53D40 #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Mathematics #Geometric and Algebraic Topology #Quantum chaos and dynamical systems #Symplectic Geometry (math.SG) #math.SG #msc:28D10 #msc:53D05 #msc:53D35 #msc:53D40

paper · pdf · doi:10.48550/arxiv.1206.0667

This paper is withdrawn by the author because the paper did not prove the second inequality of (4.3), which is unlikely to hold in general

openalex publication_date 2012/06/04 · arxiv created 2012/06/09 · arxiv updated 2012/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note was an attempt to complete a gap in the proof of Theorem 11.1 of the paper arXiv:1111.5992. Due to a critical gap in the proof of Lemma 4.3, this paper is withdrawn.

Citations

• Homotopy invariance of spectral invariants of topological hamiltonian flows and its Lagrangian analog

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