A geometric spectral sequence in Khovanov homology

نویسندگان

چکیده

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 the Spectral Sequence from Khovanov Homology to Heegaard Floer Homology

Ozsváth and Szabó show in [10] that there is a spectral sequence whose E term is g Kh(L), and which converges to d HF (−Σ(L)). We prove that the E term of this spectral sequence is an invariant of the link L for all k ≥ 2. If L is a transverse link in (S, ξstd), then we show that Plamenevskaya’s transverse invariant ψ(L) gives rise to a transverse invariant of L in the E term for each k ≥ 2.

متن کامل

A SPECTRAL SEQUENCE FOR KHOVANOV HOMOLOGY WITH AN APPLICATION TO (3, q)-TORUS LINKS

A spectral sequence converging to Khovanov homology is constructed which is applied to calculate the rational Khovanov homology of (3, q)-torus links.

متن کامل

Khovanov Homology

A gap was found; the paper needs several corrections.

متن کامل

Odd Khovanov Homology

We describe an invariant of links in S which is closely related to Khovanov’s Jones polynomial homology. Our construction replaces the symmetric algebra appearing in Khovanov’s definition with an exterior algebra. The two invariants have the same reduction modulo 2, but differ over Q. There is a reduced version which is a link invariant whose graded Euler characteristic is the normalized Jones ...

متن کامل

Fast Khovanov Homology Computations

We introduce a local algorithm for Khovanov Homology computations — that is, we explain how it is possible to “cancel” terms in the Khovanov complex associated with a (“local”) tangle, hence canceling the many associated “global” terms in one swoosh early on. This leads to a dramatic improvement in computational efficiency. Thus our program can rapidly compute certain Khovanov homology groups t...

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: Journal of Topology

سال: 2015

ISSN: 1753-8416,1753-8424

DOI: 10.1112/jtopol/jtv027