July 4, 2024Open Access

A survey on embeddings of 3-manifolds in definite 4-manifolds

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Abstract

This article presents a survey on the topic of embedding 3-manifolds in definite 4-manifolds, emphasizing the latest progress in the field. We will focus on the significant role played by Donaldson's diagonalization theorem and the combinatorics of integral lattices in understanding these embeddings. Additionally, the article introduces a new result concerning the embedding of amphichiral lens spaces in negative-definite manifolds.

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Aceto et al. (Thu,) studied this question.

synapsesocial.com/papers/68e616ccb6db6435875a9951 https://doi.org/https://doi.org/10.48550/arxiv.2407.03692

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