Spectra in Khovanov and Knot Floer Theories

Sarkar, Sucharit and Marengon, Marco and Stipsicz, András (2024) Spectra in Khovanov and Knot Floer Theories. In: Singularities and Low Dimensional Topology. Bolyai Society Mathematical Studies (30). Springer Nature Switzerland, Cham, pp. 187-223. ISBN 9783031566103; 9783031566110; 9783031566134

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Abstract

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 following a lecture series given by Sucharit Sarkar at the Renyi Institute during a special semester on “Singularities and low-dimensional topology”, organised by the Erdos˝ Center.

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