Rasmussen invariants of Whitehead doubles and other satellites

被引：1

作者：

Lewark, Lukas ^{[1
]}

Zibrowius, Claudius ^{[2
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] Ruhr Univ Bochum, Fak Math, Univ Str 150, D-44780 Bochum, Germany

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2024年 / 2024卷 / 816期

关键词：

KNOT FLOER HOMOLOGY; OZSVATH-SZABO; CONCORDANCE INVARIANTS; LINKS; TAU;

D O I：

10.1515/crelle-2024-0061

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove formulae for the F-2-Rasmussen invariant of satellite knots of patterns with wrapping number 2, using the multicurve technology for Khovanov and Bar-Natan homology developed by Kotelskiy, Watson, and the second author. A new concordance homomorphism, which is independent of the Rasmussen invariant, plays a central role in these formulae. We also explore whether similar formulae hold for the Ozsvath-Szabo invariant tau.

引用

页码：241 / 296

页数：56