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On the braid index of θm-curve in 3-space

✍ Scribed by Tomoko Shinnoki; Takashi Takamuki

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
151 KB
Volume
260
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

In this paper we consider the braid index and the number of Seifert circles of a θ~m~‐curve in ℝ^3^ as a generalization of the concepts on an oriented link and establish a relation between them and the degree of Yokota's polynomial invariant.

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A relative index on the space of 3-dimen
A relative index on the space of 3-dimensional embeddable CR-structures of finite type
✍ Peter Greiner; Wolfgang Staubach; Wei Wang 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 304 KB 👁 1 views

## Abstract For a small deformation Φ of a 3‐dimensional pseudoconvex embeddable CR‐structure of finite type, we prove that Φ defines an embeddable CR‐structure if and only if the Szegö projection from ker $ ^{\rm \Phi} {\bar \partial} \_{b} $ to ker $ {\bar \partial} \_{b} $ is a Fredholm operator