Surgical invariants of four-manifolds
B. Broda (U. Clausthal, U. Lodz)
TL;DR
This paper introduces a novel topological invariant for closed, connected, orientable four-manifolds, extending ideas from three-dimensional invariants to four dimensions through surgery on special links.
Contribution
It proposes a new four-dimensional invariant inspired by the SU(2) three-manifold invariant, constructed via surgery on a special link.
Findings
Defines a new invariant for four-manifolds
Extends three-dimensional topological invariants to four dimensions
Provides a method for calculating the invariant via link surgery
Abstract
A new topological invariant of closed connected orientable four-dimensional manifolds is proposed. The invariant, constructed via surgery on a special link, is a four-dimensional counterpart of the celebrated SU(2) three-manifold invariant of Reshetikhin, Turaev and Witten.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research