Gröbner–Shirshov bases for Seifert manifolds
In this paper, we give some Gröbner–Shirshov bases for the fundamental group of any Seifert manifold. By using a special kind of order of generators, these bases can be constructed inductively. As an application, we can determine the monomorphisms from the fundamental group of non-orientable surfaces to the fundamental group of Seifert manifolds.
Authors
- Xuezhi Zhao (ORCID: https://orcid.org/0000-0002-6057-7237)
- Jingyun Liao (ORCID: https://orcid.org/0009-0002-3317-2231)
Institutions
- Capital Normal University (CN)
Publication Details
- Journal
- Journal of Knot Theory and Its Ramifications
- Published
- 2025-12-06
- DOI
- https://doi.org/10.1142/s0218216526400055
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00