On surgeries from lens space $L(p,1)$ to $L(q,2)$
Boning Wang
TL;DR
This paper investigates the conditions and properties of distance one surgeries between lens spaces of the form L(p,1) and L(q,2) using the d-invariant surgery formula, focusing on odd p and q.
Contribution
It applies the d-invariant surgery formula to analyze surgeries between specific lens spaces, providing new insights into their topological relationships.
Findings
Characterization of surgeries between L(p,1) and L(q,2)
Conditions for homologically essential knots involved
Results on the possible outcomes of such surgeries
Abstract
We mainly use the d-invariant surgery formula established by Wu and Yang \cite{wu2025surgerieslensspacestype} to study the distance one surgeries along a homologically essential knot between lens spaces of the form and where are odd integers.
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 · Homotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory