Apr 8 2021

Quantum Topology Seminar: Easy examples of construction of Khovanov-Lipshitz-Sarkar stable homotopy types, by Eiji Ogasa

April 8, 2021

4:00 PM - 4:50 PM

Location

Zoom

Address

Chicago, IL

Eiji Ogasa (Meijigakuin University, Computer Science, Japan): Easy examples of construction of Khovanov-Lipshitz-Sarkar stable homotopy types

I construct a Khovanov-Lipshitz-Sarkar CW complex explicitly associated with `the diagram with only one negative crossing and without a positive crossing’ of the trivial knot. 
Khovanov-Lipshitz-Sarkar stable homotopy type is the stable homotopy type of a Khovanov-Lipshitz-Sarkar CW complex.
I also construct a Khovanov-Lipshitz-Sarkar CW complex associated with the ladybug configuration. The ladybug configuration is important in Khovanov-Lipshitz-Sarkar  stable homotopy theory. I will explain it.
 I ask an open question written in my joint paper with Kauffman and Nikonov.
 Kauffman-Nikonov-Ogasa: Khovanov-Lipshitz-Sarkar homotopy type for links in thickened higher genus surfaces arxiv2007.09241[math.GT].

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Contact

Louis Kauffman

Date posted

Apr 21, 2021

Date updated

Apr 21, 2021

Speakers

Eiji Ogasa | (Meijigakuin University, Computer Science, Japan)