Handle decompositions of rational homology balls and Casson–Gordon invariants

Aceto, Paolo; Golla, Marco; Lecuona, Ana

doi:10.1090/proc/14035

Handle decompositions of rational homology balls and Casson–Gordon invariants
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by Paolo Aceto, Marco Golla and Ana G. Lecuona PDF

Proc. Amer. Math. Soc. 146 (2018), 4059-4072 Request permission

Abstract:

Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition. We use Casson–Gordon invariants to obtain lower bounds which also lead to lower bounds on the fusion number of ribbon knots. We use Levine–Tristram signatures to compute these bounds and produce explicit examples.

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