Curvature and quantized Arnold strangeness

DOI DOI Web Site 7 References Open Access
  • Noboru Ito
    National Institute of Technology, Ibaraki College, 312-8508, Japan

Search this article

Description

<jats:p> There are three well-known Arnold’s invariants [Formula: see text], [Formula: see text], and St (Arnold strangeness) for plane curves. Two of them, [Formula: see text] and [Formula: see text], have been successfully quantized. However, the quantization of the Arnold strangeness St remained unrealized. In this paper, we will express a quantization of St by integrating curvatures multiplied by nontrivial densities. The key here is a partition function by Shumakovitch which reformulates the Arnold strangeness. Our quantized Arnold strangeness includes the rotation number, the original Arnold strangeness, and the Tabachnikov invariants as coefficients in its Taylor expansion. </jats:p>

Journal

References(7)*help

See more

Related Projects

See more

Keywords

Details 詳細情報について

Report a problem

Back to top