Point-pushing in 3-manifolds
Jessica E. Banks
TL;DR
This paper investigates the structure of the Birman exact sequence within the context of compact 3-manifolds, providing insights into the algebraic and topological properties involved.
Contribution
It introduces a new analysis of the Birman exact sequence specifically tailored for compact 3-manifolds, extending previous understanding.
Findings
Characterization of the Birman exact sequence in 3-manifolds
Identification of new algebraic invariants related to point-pushing
Connections between the sequence and 3-manifold topology
Abstract
We study the Birman exact sequence for compact 3-manifolds.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics