TY - JOUR
T1 - Alternating links have at most polynomially many seifert surfaces of fixed genus
AU - Hass, Joel
AU - Thompson, Abigail
AU - Tsvietkova, Anastasiia
N1 - Publisher Copyright:
© 2021 Department of Mathematics, Indiana University. All rights reserved.
PY - 2021
Y1 - 2021
N2 - Let L be a non-split prime alternating link with n > 0 crossings. We show that for each fixed g, the number of genus-g Seifert surfaces for L is bounded by an explicitly given polynomial in n. The result also holds for all spanning surfaces of fixed Euler characteristic. Previously known bounds were exponential.
AB - Let L be a non-split prime alternating link with n > 0 crossings. We show that for each fixed g, the number of genus-g Seifert surfaces for L is bounded by an explicitly given polynomial in n. The result also holds for all spanning surfaces of fixed Euler characteristic. Previously known bounds were exponential.
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U2 - 10.1512/IUMJ.2021.70.8350
DO - 10.1512/IUMJ.2021.70.8350
M3 - Article
AN - SCOPUS:85106233362
SN - 0022-2518
VL - 70
SP - 525
EP - 534
JO - Indiana University Mathematics Journal
JF - Indiana University Mathematics Journal
IS - 2
ER -