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Mathematics > Symplectic Geometry

arXiv:1910.13400 (math)
[Submitted on 29 Oct 2019 ]

Title: Derivation of the HOMFLYPT knot polynomial via helicity and geometric quantization

Title: 通过螺旋度和几何量子化推导HOMFLYPT纽结多项式

Authors:Antonio Michele Miti, Mauro Spera
Abstract: In this Letter we propose a semiclassical interpretation of the HOMFLYPT polynomial building on the Liu-Ricca hydrodynamical approach to the latter and on the Besana-S. symplectic approach to framing via Brylinski's manifold of mildly singular links.
Abstract: 在本文中,我们提出了一种半经典解释,用于HOMFLYPT多项式,基于Liu-Ricca对后者的流体力学方法,以及基于Brylinski的轻微奇异链环流形的Besana-S.辛方法对框架的处理。
Comments: 5 pages, 2 figures. Extended and revised version of Section 5 of the paper arXiv:1805.01696v2
Subjects: Symplectic Geometry (math.SG) ; Mathematical Physics (math-ph); Algebraic Topology (math.AT)
MSC classes: 53D50, 58D10, 53D12, 53D20, 57M25, 76B47, 81S10
Cite as: arXiv:1910.13400 [math.SG]
  (or arXiv:1910.13400v1 [math.SG] for this version)
  https://doi.org/10.48550/arXiv.1910.13400
arXiv-issued DOI via DataCite
Related DOI: https://doi.org/10.1007/s40574-020-00254-5
DOI(s) linking to related resources

Submission history

From: Antonio Michele Miti [view email]
[v1] Tue, 29 Oct 2019 17:00:36 UTC (29 KB)
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