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Bibliographic Details
Main Author: Ue, Masaaki
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.02597
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Table of Contents:
  • We give an estimate for Manolescu's $κ$-invariant of a rational homology 3-sphere $Y$ by the data of a spin 4-orbifold bounded by $Y$. By an appropriate choice of a 4-orbifold, sometimes we can restrict and determine the value of $κ$. We give such examples in case of Dehn surgeries along knots in $S^3$.