The classification of subfactors with index at most 5 1/4 / Narjess Afzaly, Scott Morrison, David Penneys.

Format:

Book

Author/Creator:

Afzaly, Narjess, author.

Morrison, Scott (Scott Edward), author.

Penneys, David, author.

Series:

Memoirs of the American Mathematical Society ; no. 1405.

Memoirs of the American Mathematical Society, 0065-9266 ; number 1405

Language:

English

Subjects (All):

Mathematics.

Index theorems.

Physical Description:

v, 81 pages : illustrations ; 26 cm.

Place of Publication:

Providence, RI : American Mathematical Society, 2023.

Summary:

"Subfactor standard invariants encode quantum symmetries. The small index subfactor classification program has been a rich source of interesting quantum symmetries. We give the complete classification of subfactor standard invariants to index 5 1/4 , which includes 3 [plus] [sqaure root]5, the first interesting composite index"-- Provided by publisher.

Contents:

Chapter 1. Introduction

Chapter 2. Background

Chapter 3. The main theorem

Chapter 4. Better combinatorics for graph enumeration

Chapter 5. Weeds with branch factor r = 1

Chapter 6. Ruling out weeds using branch factor inequalities

Chapter 7. Ruling out 4-spokes

Chapter 8. Cyclotomicity of vines

Appendix A. Appendices

Bibliography.

Notes:

"April 2023, volume 284, number 1405 (first of six numbers)."

Includes bibliographical references (pages 77-81).

ISBN:

9781470447120

1470447126

OCLC:

1378073689