8 citations · 15 across the 7 of their papers we have counts for
7 papers
The finiteness result for Khovanov homology and localization in monoidal categories
Nadya Shirokova
In the previous paper we constructed the local system of Khovanov complexes on the Vassiliev space of knots and extended it to the singular locus. In this paper we introduce the de…
The moduli space of parallelizable 4-manifolds
Nadya Shirokova
In this paper we construct the space of smooth 4-manifolds and find the homotopy model for the connected components of the complement to the discriminant. The discriminant of this…
Wall-Crossing Morphisms in Khovanov-Rozansky Homology
Nadya Shirokova, Ben Webster
We define a wall-crossing morphism for Khovanov-Rozansky homology; that is, a map between the KR homology of knots related by a crossing change. Using this map, we extend KR homolo…
On the classification of Floer-type theories
Nadya Shirokova
In this paper we outline a program for the classification of Floer-type theories, (or defining invariants of finite type for families). We consider Khovanov complexes as a local sy…
Vanishing Cycles and the Inverse Problem of Potential Theory
Nadya Shirokova
In this paper we prove the infinitesimal uniqueness theorem for the Newton potential of non simply connected bodies using the singularity theory approach. We consider the Newtonian…
Toric integrable geodesic flows
Eugene Lerman, Nadya Shirokova
By studying completely integrable torus actions on contact manifolds we prove a conjecture of Toth and Zelditch that toric integrable geodesic flows on tori must have flat metrics.