Closed manifold surgery obstructions and the Oozing Conjecture
Geometric Topology
2026-02-06 v1 Algebraic Topology
Abstract
We complete the description of surgery obstructions up to homotopy equivalence for closed oriented manifolds with finite fundamental group. New examples are presented of non-trivial obstructions for Arf invariant product formulas in codimensions , which give counterexamples to the well-known ''Oozing Conjecture'' from the 1980's.
Cite
@article{arxiv.2602.05003,
title = {Closed manifold surgery obstructions and the Oozing Conjecture},
author = {Ian Hambleton and Ozgun Unlu},
journal= {arXiv preprint arXiv:2602.05003},
year = {2026}
}
Comments
36 pages