7 papers · 1 filter
Almost-extreme Khovanov spectra
Federico Cantero Morán, Marithania Silvero
We introduce a functor from the cube to the Burnside 2-category and prove that it is equivalent to the Khovanov spectrum given by Lipshitz and Sarkar in the almost-extreme quantum…
Geometric realization of the almost-extreme Khovanov homology of semiadequate links
Józef H. Przytycki, Marithania Silvero
We introduce the notion of partial presimplicial set and construct its geometric realization. We show that any semiadequate diagram yields a partial presimplicial set leading to a…
Khovanov homotopy type, periodic links and localizations
Maciej Borodzik, Wojciech Politarczyk, Marithania Silvero
Given an -periodic link , we show that the Khovanov spectrum constructed by Lipshitz and Sarkar admits a homology group action. We relate the Borel…
On multiplying curves in the Kauffman bracket skein algebra of the thickened four-holed sphere
Rhea Palak Bakshi, Sujoy Mukherjee, Józef H. Przytycki +2
Based on the presentation of the Kauffman bracket skein module of the torus given by the third author in previous work, Charles D. Frohman and Răzvan Gelca established a complete d…
Extreme Khovanov spectra
Federico Cantero Morán, Marithania Silvero
We prove that the spectrum constructed by González-Meneses, Manchón and the second author is stably homotopy equivalent to the Khovanov spectrum of Lipshitz and Sarkar at its extre…
Polynomial braid combing
Juan González-Meneses, Marithania Silvero
Braid combing is a procedure defined by Emil Artin to solve the word problem in braid groups for the first time. It is well-known to have exponential complexity. In this paper, we…