The number of surfaces of fixed genus in an alternating link complement

Joel Hass, Abigail Thompson, Anastasiia Tsvietkova

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Let L be a prime alternating link with n crossings. We show that for each fixed g, the number of genus g incompressible surfaces in the complement of L is bounded by an explicitly given polynomial in n. Previous bounds were exponential in n.

Original languageEnglish (US)
Pages (from-to)1611-1622
Number of pages12
JournalInternational Mathematics Research Notices
Volume2017
Issue number6
DOIs
StatePublished - Mar 1 2017
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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