The Number of Surfaces of Fixed Genus in an Alternating Link Complement

作者:Hass Joel; Thompson Abigail; Tsvietkova Anastasiia*
来源:International Mathematics Research Notices, 2017, (6): 1611-1622.
DOI:10.1093/imrn/rnw075

摘要

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.

  • 出版日期2017-3