Rational Homology 3-spheres and $\mathrm{SL}(2,\mathbb{C})$ Representations
Author:   Sudipta Ghosh ,  Steven Sivek ,  Raphael Zentner
Publisher:   American Mathematical Society
ISBN:  

9781470480288


Pages:   88
Publication Date:   31 March 2026
Format:   Paperback
Availability:   Not yet available   Availability explained
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Rational Homology 3-spheres and $\mathrm{SL}(2,\mathbb{C})$ Representations


Overview

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Full Product Details

Author:   Sudipta Ghosh ,  Steven Sivek ,  Raphael Zentner
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Weight:   0.088kg
ISBN:  

9781470480288


ISBN 10:   147048028
Pages:   88
Publication Date:   31 March 2026
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Forthcoming
Availability:   Not yet available   Availability explained
This item is yet to be released. You can pre-order this item and we will dispatch it to you upon its release.

Table of Contents

1. Introduction 2. Instanton Floer homology 3. Closed curves in the pillowcase 4. Pinching and the twisted $I$-bundle over the Klein bottle 5. Splicing knots in manifolds with $2$-torsion homology 6. Gluing complements of knots in sums of $\mathbb {RP}^{3}$ 7. Toroidal manifolds as unions of knot complements 8. Proof of Theorem 9. From $\mathbb {Z}/p\mathbb {Z}$ to $p$-torsion homology 10. Manifolds with $3$-torsion homology A. The surgery exact triangle in irreducible instanton homology

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Author Information

Sudipta Ghosh, University of Notre Dame, Indiana, Steven Sivek, Imperial College London, United Kingdom, and Raphael Zentner, Durham University, United Kingdom

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