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An RBG construction of integral surgery homeomorphisms

Qianhe Qin

Algebraic & Geometric Topology 25 (2025) 3755–3774
Abstract

We generalize the RBG construction of Manolescu and Piccirillo to produce pairs of knots with the same n-surgery, and investigate the possibility of constructing exotic definite four-manifolds using n-surgery homeomorphisms.

Keywords
RBG link, surgery homeomorphism, slice knot, Khovanov homology
Mathematical Subject Classification
Primary: 57K10, 57K18, 57K40
References
Publication
Received: 8 November 2023
Revised: 4 May 2024
Accepted: 23 May 2024
Published: 1 October 2025
Authors
Qianhe Qin
Department of Mathematics
Stanford University
Stanford, CA
United States

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