On Khovanov Homology of Quasi-Alternating Links

نویسندگان

چکیده

We prove that the length of any gap in differential grading Khovanov homology quasi-alternating link is one. As a consequence, we obtain Jones polynomial such This establishes weaker version Conjecture 2.3 (Topol Appl 264:1–11, 2019). Moreover, lower bound for determinant terms breadth its polynomial. 3.8 (Algebr Geom Topol 15:1847–1862, 2015). The main tool obtaining this result establishing Knight Move [(Algebr 2:337-370, 2002), 1] class links.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

On Khovanov Invariant for Alternating Links

We prove the first conjecture of Bar-Natan, Garoufalidis, and Khovanov on the Khovanov invariant for alternating knots.

متن کامل

Khovanov Homology for Alternating Tangles

We describe a “concentration on the diagonal” condition on the Khovanov complex of tangles, show that this condition is satisfied by the Khovanov complex of the single crossing tangles (!) and ("), and prove that it is preserved by alternating planar algebra compositions. Hence, this condition is satisfied by the Khovanov complex of all alternating tangles. Finally, in the case of 0-tangles, me...

متن کامل

On the Khovanov and Knot Floer Homologies of Quasi-alternating Links

Quasi-alternating links are a natural generalization of alternating links. In this paper, we show that quasi-alternating links are “homologically thin” for both Khovanov homology and knot Floer homology. In particular, their bigraded homology groups are determined by the signature of the link, together with the Euler characteristic of the respective homology (i.e. the Jones or the Alexander pol...

متن کامل

Quasi-alternating Links and Odd Homology: Computations and Conjectures

We present computational results about quasi-alternating knots and links and odd homology obtained by looking at link families in the Conway notation. More precisely, we list quasi-alternating links up to 12 crossings and the first examples of quasi-alternating knots and links with at least two different minimal diagrams, where one is quasi-alternating and the other is not. We provide examples ...

متن کامل

Bar-natan’s Khovanov Homology for Coloured Links

Using Bar-Natan’s Khovanov homology we define a homology theory for links whose components are labelled by irreducible representations of Uq(sl2). We then compute this explicitly.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Mediterranean Journal of Mathematics

سال: 2022

ISSN: ['1660-5454', '1660-5446']

DOI: https://doi.org/10.1007/s00009-022-02006-5