A note on the four-dimensional Kirby calculus
Boguslaw Broda (U. Clausthal, U. Lodz)
TL;DR
This paper provides an explicit derivation of the representation ring of SU(2) crucial for applying four-dimensional Kirby calculus, aiding topologists in understanding 4-manifold invariants.
Contribution
It offers a detailed derivation of the SU(2) representation ring elements necessary for four-dimensional Kirby calculus, filling a gap in the literature.
Findings
Explicit derivation of SU(2) representation ring elements
Facilitates application of Kirby calculus in 4D topology
Supports computation of 4-manifold invariants
Abstract
An explicit derivation of the elements of the representation ring of SU(2) needed to implement the four-dimensional Kirby calculus is sketched.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms