SL(2,C) Floer Cohomology for Surgeries on Some Knots
نویسندگان
چکیده
We establish a relationship between HP(Y), the Abouzaid–Manolescu sheaf-theoretic SL(2,C) Floer cohomology for surgery Y on small knot in S3 and Curtis’ Casson invariant. use this to compute HP most surgeries two-bridge knots. also two nonsmall knots, granny square provide partial calculation of framed HP#(Y) knots apply data we obtain show nonexistence exact triangle HP#.
منابع مشابه
Floer homology of surgeries on two-bridge knots
We compute the Ozsv ath-Szab o Floer homologies HF and d HF for three-manifolds obtained by integer surgery on a two-bridge knot. AMS Classi cation 57R58; 57M27
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ژورنال
عنوان ژورنال: Michigan Mathematical Journal
سال: 2022
ISSN: ['0026-2285', '1945-2365']
DOI: https://doi.org/10.1307/mmj/20216036