84 citations · 378 across the 32 of their papers we have counts for
38 papers
Phutball Draws
Sucharit Sarkar
In this short note, we exhibit a draw in the game of Philosopher's Phutball. We construct a position on a 12 x 10 Phutball board from where either player has a drawing strategy, an…
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…
Spectra in Khovanov and knot Floer theories
Marco Marengon, Sucharit Sarkar, Andras Stipsicz
These notes provide an introduction to the stable homotopy types in Khovanov theory (due to Lipshitz-Sarkar) and in knot Floer theory (due to Manolescu-Sarkar). They were written f…
Khovanov homology of strongly invertible knots and their quotients
Robert Lipshitz, Sucharit Sarkar
We construct a spectral sequence relating the Khovanov homology of a strongly invertible knot to the annular Khovanov homologies of the two natural quotient knots. Using this spect…
Murasugi sum and extremal knot Floer homology
Zhechi Cheng, Matthew Hedden, Sucharit Sarkar
The aim of this paper is to study the behavior of knot Floer homology under Murasugi sum. We establish a graded version of Ni's isomorphism between the extremal knot Floer homology…
A mixed invariant of non-orientable surfaces in equivariant Khovanov homology
Robert Lipshitz, Sucharit Sarkar
We construct a mixed invariant of non-orientable surfaces from the Lee and Bar-Natan deformations of Khovanov homology and use it to distinguish pairs of surfaces bounded by the sa…