Linking numbers for handlebody-links
Atsuhiko Mizusawa
TL;DR
This paper introduces a new set of invariant linking numbers for handlebody-links, extending classical linking concepts to more complex topological structures.
Contribution
It constructs elementary divisor invariants for two-component handlebody-links, generalizing the classical linking number.
Findings
Defines invariant numbers for handlebody-links
Establishes elementary divisors as invariants
Extends classical linking number theory
Abstract
As a generalization of the linking number, we construct a set of invariant numbers for two-component handlebody-links. These numbers are elementary divisors associated with the natural homomorphism from the first homology group of a component to that of the complement of another component.
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Taxonomy
TopicsGeometric and Algebraic Topology