Khovanov homology detects split links

نویسندگان

چکیده

Extending ideas of Hedden-Ni, we show that the module structure on Khovanov homology detects split links. We also prove an analogue for untwisted Heegaard Floer branched double cover. Technical results proved along way include two interpretations in terms twisted and fact reduced complex a link is well defined up to quasi-isomorphism.

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ژورنال

عنوان ژورنال: American Journal of Mathematics

سال: 2022

ISSN: ['0002-9327', '1080-6377']

DOI: https://doi.org/10.1353/ajm.2022.0043