Memoirs of the American Mathematical Society, 0065-9266 ; number 1392 [More in this series]

Summary note

"We generalize Jones' planar algebras by internalising the notion to a pivotal braided tensor category C. To formulate the notion, the planar tangles are now equipped with additional 'anchor lines' which connect the inner circles to the outer circle. We call the resulting notion an anchored planar algebra. If we restrict to the case when C is the category of vector spaces, then we recover the usual notion of a planar algebra."-- Page v.

Notes

Number 1392 (first of 6 numbers).

Bibliographic references

Includes bibliographical references (pages 99-100).

Contents

Chapter 1. Introduction

Chapter 2. Anchored planar algebras

Chapter 3. The main theorem and examples

Chapter 4. Constructing anchored planar algebras

Chapter 5. Anchored planar algebras from modular tensor categories

Chapter 6. Modular tensor categories from anchored planar algebras

Chapter 7. Equivalence of categories

Appendix A. An associativity type relation

Appendix B. Anchored planar tangles with coupons

Appendix C. The tube string calculus for the categorified trace

Bibliography.

Show 8 more Contents items

ISBN

9781470455408 ((paperback))

1470455404 ((paperback))

OCLC

1371970297

Statement on language in description

Princeton University Library aims to describe library materials in a manner that is respectful to the individuals and communities who create, use, and are represented in the collections we manage. Read more...