Parities on 2-knots and 2-links
Denis A. Fedoseev, Vassily O. Manturov
TL;DR
This paper introduces a parity-based framework for studying 2-dimensional knots and links, leading to new invariants and refinements of existing ones, enhancing the understanding of their topological properties.
Contribution
It extends the concept of parity from 1-dimensional to 2-dimensional knots and links, providing novel invariants and refining existing ones.
Findings
New parity-based invariants for 2-knots and 2-links
Refinement of known invariants using parity techniques
Enhanced understanding of 2-dimensional knot topology
Abstract
2-dimensional knots and links are studied in the article. The notion of parity is introduced via techniques similar to the ones used by the second named author in 1-dimensional case. By using parity new invariants are constructed and known invariants are refined.
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