MEASURE OF A 2-COMPONENT LINK

作者:O' Hara; Jun
来源:Tohoku Mathematical Journal, 2013, 65(3): 427-440.
DOI:10.2748/tmj/1378991024

摘要

A two-component link produces a torus as the product of the component knots in a two-point configuration space of a three-sphere. This space can be identified with a cotangent bundle and also with an indefinite Grassmannian. We show that the integration of the absolute value of the canonical symplectic form is equal to the area of the torus with respect to the pseudo-Riemannian structure, and that it attains the minimum only at the %26quot;best%26quot; Hopf links.

  • 出版日期2013-9

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