Planar algebras in braided tensor categories / André Gil Henriques, David Penneys, James Tener.
| Author/creator | Henriques, André G., 1977- |
| Other author | Penneys, David. |
| Other author | Tener, James. |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, 2023. |
| Description | v, 100 pages : illustrations ; 26 cm |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society, 0065-9266 ; volume 282, number 1392 (first of 6 numbers) |
| Abstract | "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. Building on our previous work on categorified traces, we prove that there is an equivalence of categories between anchored planar algebras in C and pivotal module tensor categories over C equipped with a chosen self-dual generator. Even in the case of usual planar algebras, the precise formulation of this theorem, as an equivalence of categories, has not appeared in the literature. Using our theorem, we describe many examples of anchored planar algebras"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 99-100). |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2023012957 |
| ISBN | 9781470455408 (paperback) |
| ISBN | (pdf) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |