Abstract. Using derived categories of equivariant coherent sheaves we construct a knot homology theory which categorifies the quantum sl(m) knot polynomial. Our knot homology naturally satisfies the categorified MOY relations and is conjecturally isomorphic to Khovanov-Rozansky homology. Our construction is motivated by the geometric Satake correspondence and is related to Manolescu’s b
Knot theory is the study of knots similar to those we encounter in everyday life. Two primary questi...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
peer reviewedUsing a modified foam evaluation, we give a categorification of the Alexander polynomia...
Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. ...
Abstract. Besides offering a friendly introduction to knot ho-mologies and quantum curves, the goal ...
This paper contains a categorification of the sl(k) link invariant using parabolic singular blocks o...
Besides offering a friendly introduction to knot homologies and quantum curves, the goal of these le...
Besides offering a friendly introduction to knot homologies and quantum curves, the goal of these le...
The Alexander polynomial for knots and links can be interpreted as a quantum knot invariant associat...
Besides offering a friendly introduction to knot homologies and quantum curves, the goal of these le...
We propose a framework for unifying the sl(N) Khovanov– Rozansky homology (for all N) with the knot ...
We propose a framework for unifying the sl(N) Khovanov– Rozansky homology (for all N) with the knot ...
In this thesis we define and study a categorification of the sl(N)-link polynomial using foams, for ...
En 2000, Khovanov ouvre la voie au programme de catégorification en théorie des nœuds, définissant u...
Knot theory is the study of knots similar to those we encounter in everyday life. Two primary questi...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
peer reviewedUsing a modified foam evaluation, we give a categorification of the Alexander polynomia...
Using a modified foam evaluation, we give a categorification of the Alexander polynomial of a knot. ...
Abstract. Besides offering a friendly introduction to knot ho-mologies and quantum curves, the goal ...
This paper contains a categorification of the sl(k) link invariant using parabolic singular blocks o...
Besides offering a friendly introduction to knot homologies and quantum curves, the goal of these le...
Besides offering a friendly introduction to knot homologies and quantum curves, the goal of these le...
The Alexander polynomial for knots and links can be interpreted as a quantum knot invariant associat...
Besides offering a friendly introduction to knot homologies and quantum curves, the goal of these le...
We propose a framework for unifying the sl(N) Khovanov– Rozansky homology (for all N) with the knot ...
We propose a framework for unifying the sl(N) Khovanov– Rozansky homology (for all N) with the knot ...
In this thesis we define and study a categorification of the sl(N)-link polynomial using foams, for ...
En 2000, Khovanov ouvre la voie au programme de catégorification en théorie des nœuds, définissant u...
Knot theory is the study of knots similar to those we encounter in everyday life. Two primary questi...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...
For each positive integer n the HOMFLY polynomial of links specializes to a one-variable po...