Homology theory | Knot invariants
In mathematics, Khovanov homology is an oriented link invariant that arises as the homology of a chain complex. It may be regarded as a categorification of the Jones polynomial. It was developed in the late 1990s by Mikhail Khovanov, then at the University of California, Davis, now at Columbia University. (Wikipedia).
Eugene Gorsky - Algebra and Geometry of Link Homology 2/5
Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connecti
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Paul Turner: A hitchhiker's guide to Khovanov homology - Part IV
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Geometry
Paul Turner: A hitchhiker's guide to Khovanov homology - Part I
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Geometry
Eugene Gorsky - Algebra and Geometry of Link Homology 1/5
Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connecti
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Paul Turner: A hitchhiker's guide to Khovanov homology - Part II
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Geometry
Paul Turner: A hitchhiker's guide to Khovanov homology - Part III
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Geometry
Eugene Gorsky - Algebra and Geometry of Link Homology 3/5
Khovanov and Rozansky defined a link homology theory which categorifies the HOMFLY-PT polynomial. This homology is relatively easy to define, but notoriously hard to compute. I will discuss recent breakthroughs in understanding and computing Khovanov-Rozansky homology, focusing on connecti
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Edward Witten: "From Gauge Theory to Khovanov Homology Via Floer Theory”
Green Family Lecture Series 2017 "From Gauge Theory to Khovanov Homology Via Floer Theory” Edward Witten, Institute for Advanced Study Abstract: The goal of the lecture is to describe a gauge theory approach to Khovanov homology of knots, in particular, to motivate the relevant gauge the
From playlist Public Lectures
Krzysztof Putyra: Quantization of the annular Khovanov homology
The lecture was held within the framework of the Hausdorff Trimester Program: Symplectic Geometry and Representation Theory. Abstract: I will discuss a deformation of the annular Khovanov homology that carries an action of the quantum sl(2). The first step is to construct an isomorphism b
From playlist HIM Lectures: Trimester Program "Symplectic Geometry and Representation Theory"
Classification of n-component links with Khovanov homology of rank 2^n - Boyu Zhang
Symplectic Dynamics/Geometry Seminar Topic: Classification of n-component links with Khovanov homology of rank 2^n Speaker: Boyu Zhang Affiliation: Princeton University Date: February 24, 2020 For more video please visit http://video.ias.edu
From playlist Mathematics
From Gauge Theory to Khovanov Homology Via Floer Theory - Edward Witten
Workshop on Homological Mirror Symmetry: Emerging Developments and Applications Topic: From Gauge Theory to Khovanov Homology Via Floer Theory Speaker: Edward Witten Affiliation: IAS Date: March 15, 2017 For more video, visit http://video.ias.edu
From playlist Mathematics
Khovanov Homology from Mirror Symmetry - Mina Aganagic
High Energy Theory Seminar Topic: Khovanov Homology from Mirror Symmetry Speaker: Mina Aganagic Affiliation: University of California, Berkeley Date: April 26, 2021 For more video please visit http://video.ias.edu
From playlist Natural Sciences
Khovanov Homology and Virtual Knot Cobordism by Louis H. Kauffman
PROGRAM KNOTS THROUGH WEB (ONLINE) ORGANIZERS: Rama Mishra, Madeti Prabhakar, and Mahender Singh DATE & TIME: 24 August 2020 to 28 August 2020 VENUE: Online Due to the ongoing COVID-19 pandemic, the original program has been canceled. However, the meeting will be conducted through onl
From playlist Knots Through Web (Online)
Spatial refinements and Khovanov homology – Robert Lipshitz & Sucharit Sarkar – ICM2018
Topology Invited Lecture 6.11 Spatial refinements and Khovanov homology Robert Lipshitz & Sucharit Sarkar Abstract: We review the construction and context of a stable homotopy refinement of Khovanov homology. © International Congress of Mathematicians – ICM www.icm2018.org Os direi
From playlist Topology
Vadim Vologodsky - Motivic homotopy type of a log scheme
Given a log scheme X over the field of complex numbers Kato and Nakayama associated with X a topological space X_{log}. I will show that the homotopy type of X_{log} is motivic in the sense of Morel and Voevodsky. The talk is based on a work in progress with Nick Howell.
From playlist A conference in honor of Arthur Ogus on the occasion of his 70th birthday
Yi Xie - Surgery, Polygons and Instanton Floer homology
June 20, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Many classical numerical invariants (including Casson invariant, Alexander polynomial and Jones polynomial) for 3-manifolds or links satisfy surgery fo
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I