On the growth of the number of prime knots
Embeddings of locally free semigroups into the set of knots are constructed. These embeddings and the results of A. Vershik, S. Nechaev, and R. Bikbov on the logarithmic volume of locally free semigroups give a new record lower bound on the growth rate of the number of knots with respect to the crossing number.
Authors
- A. V. Malyutin (ORCID: https://orcid.org/0000-0002-4512-0124)
- А. И. Алексеев (ORCID: https://orcid.org/0000-0002-8311-4366)
- A. M. Vershik
Institutions
- St. Petersburg Department of Steklov Institute of Mathematics (RU)
Publication Details
- Journal
- St Petersburg Mathematical Journal
- Published
- 2025-04-29
- DOI
- https://doi.org/10.1090/spmj/1844
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00