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9781470480288 Academic Inspection Copy

Rational Homology 3-spheres and $\mathrm{SL}(2,\mathbb{C})$ Representations

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