Chern-Simons invariants, SO(3) instantons, and Z/2-homology cobordism
Matthew Hedden, Paul Kirk
TL;DR
This paper reviews SO(3) instanton gauge theory and applies it to study the Z/2-homology cobordism group of 3-spheres, providing new insights into 4-manifold invariants and cobordism relations.
Contribution
It recasts SO(3) instanton theory in the context of 4-manifolds with cylindrical ends and applies it to Z/2-homology cobordism, offering novel applications.
Findings
Reformulation of SO(3) instanton theory for 4-manifolds with cylindrical ends
Applications to the structure of the Z/2-homology cobordism group
New invariants for Z/2-homology 3-spheres
Abstract
We review the SO(3) instanton gauge theory of Fintushel and Stern and recast it in the context of 4-manifolds with cylindrical ends. Appli- cations to the Z/2-homology cobordism group of Z/2-homology 3-spheres are given.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsGeometric and Algebraic Topology · Advanced Operator Algebra Research · Homotopy and Cohomology in Algebraic Topology