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Introduction to Soergel Bimodules

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Cover of 'Introduction to Soergel Bimodules'

Table of Contents

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    Book Overview
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    Chapter 1 How to Think About Coxeter Groups
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    Chapter 2 Reflection Groups and Coxeter Groups
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    Chapter 3 The Hecke Algebra and Kazhdan–Lusztig Polynomials
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    Chapter 4 Soergel Bimodules
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    Chapter 5 The “Classical” Theory of Soergel Bimodules
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    Chapter 6 Sheaves on Moment Graphs
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    Chapter 7 How to Draw Monoidal Categories
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    Chapter 8 Frobenius Extensions and the One-Color Calculus
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    Chapter 9 The Dihedral Cathedral
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    Chapter 10 Generators and Relations for Bott–Samelson Bimodules and the Double Leaves Basis
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    Chapter 11 The Soergel Categorification Theorem
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    Chapter 12 How to Draw Soergel Bimodules
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    Chapter 13 Category O $$\mathcal {O}$$ and the Kazhdan–Lusztig Conjectures
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    Chapter 14 Lightning Introduction to Category O $$\mathcal {O}$$
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    Chapter 15 Soergel’s 𝕍 $$\mathbb {V}$$ Functor and the Kazhdan–Lusztig Conjecture
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    Chapter 16 Lightning Introduction to Perverse Sheaves
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    Chapter 17 Hodge Theory and Lefschetz Linear Algebra
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    Chapter 18 The Hodge Theory of Soergel Bimodules
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    Chapter 19 Rouquier Complexes and Homological Algebra
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    Chapter 20 Proof of the Hard Lefschetz Theorem
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    Chapter 21 Connections to Link Invariants
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    Chapter 22 Cells and Representations of the Hecke Algebra in Type A
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    Chapter 23 Categorical Diagonalization
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    Chapter 24 Singular Soergel Bimodules and Their Diagrammatics
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    Chapter 25 Koszul Duality I
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    Chapter 26 Koszul Duality II
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    Chapter 27 The p -Canonical Basis
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Citations

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Title
Introduction to Soergel Bimodules
Published by
Springer International Publishing, October 2020
DOI 10.1007/978-3-030-48826-0
ISBNs
978-3-03-048825-3, 978-3-03-048826-0
Authors

Elias, Ben, Makisumi, Shotaro, Thiel, Ulrich, Williamson, Geordie