Access the full text.
Sign up today, get DeepDyve free for 14 days.
G. Mikhalkin, S. Orevkov (2017)
Maximally writhed real algebraic linksInventiones mathematicae, 216
O. Viro (1988)
Some integral calculus based on Euler characteristic
F. Schuh
An equation of reality for real and imaginary plane curves with higher singularities, 6
Battelle Villa, 1227 Carouge, Suisse. E-mail address: grigory.mikhalkin@unige
G. Mikhalkin, S. Orevkov (2017)
Topology of Maximally Writhed Real Algebraic KnotsDoklady Mathematics, 97
O. Viro (2000)
Encomplexing the writhearXiv: Algebraic Geometry
F. Klein (1876)
Eine neue Relation zwischen den Singularitäten einer algebraischen CurveMathematische Annalen, 10
E-mail address: orevkov@math.ups-tlse
K. Murasugi (1991)
On the braid index of alternating linksTransactions of the American Mathematical Society, 326
Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations
(2018)
(Russian); English transl., Doklady Math
For a real algebraic link in RP3\documentclass[12pt]{minimal}\usepackage{amsmath}\usepackage{wasysym}\usepackage{amsfonts}\usepackage{amssymb}\usepackage{amsbsy}\usepackage{mathrsfs}\usepackage{upgreek}\setlength{\oddsidemargin}{-69pt}\begin{document}$${{\mathbb {RP}}}^3$$\end{document}, we prove that its encomplexed writhe (an invariant introduced by Viro) is maximal for a given degree and genus if and only if its self-linking number with respect to the framing by the osculating planes is maximal for a given degree.
Arnold Mathematical Journal – Springer Journals
Published: Dec 26, 2019
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.