WorldCat Identities

Baez, John C. 1961-

Overview
Works: 19 works in 88 publications in 4 languages and 1,639 library holdings
Roles: Author, Editor, Recipient, Other
Classifications: QC793.3.F5, 530.14
Publication Timeline
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Most widely held works by John C Baez
Gauge fields, knots, and gravity by John C Baez( Book )

22 editions published between 1994 and 2011 in English and held by 355 WorldCat member libraries worldwide

Introduction to algebraic and constructive quantum field theory by John C Baez( Book )

16 editions published between 1991 and 2014 in English and held by 274 WorldCat member libraries worldwide

Knots and quantum gravity by John C Baez( Book )

11 editions published in 1994 in English and held by 239 WorldCat member libraries worldwide

Infinite-dimensional representations of 2-groups( Book )

11 editions published between 2011 and 2012 in English and held by 149 WorldCat member libraries worldwide

"A '2-group' is a category equipped with a multiplication satisfying laws like those of a group. Just as groups have representations on vector spaces, 2-groups have representations on '2-vector spaces', which are categories analogous to vector spaces. Unfortunately, Lie 2-groups typically have few representations on the finite-dimensional 2-vector spaces introduced by Kapranov and Voevodsky. For this reason, Crane, Sheppeard and Yetter introduced certain infinite-dimensional 2-vector spaces called 'measurable categories' (since they are closely related to measurable fields of Hilbert spaces), and used these to study infinite-dimensional representations of certain Lie 2-groups. Here we continue this work. We begin with a detailed study of measurable categories. Then we give a geometrical description of the measurable representations, intertwiners and 2-intertwiners for any skeletal measurable 2-group. We study tensor products and direct sums for representations, and various concepts of subrepresentation. We describe direct sums of intertwiners, and sub-intertwiners--features not seen in ordinary group representation theory. We study irreducible and indecomposable representations and intertwiners. We also study 'irretractable' representations--another feature not seen in ordinary group representation theory. Finally, we argue that measurable categories equipped with some extra structure deserve to be considered 'separable 2-Hilbert spaces', and compare this idea to a tentative definition of 2-Hilbert spaces as representation categories of commutative von Neumann algebras."
Towards higher categories by John C Baez( Book )

13 editions published between 2009 and 2010 in English and held by 111 WorldCat member libraries worldwide

The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory. The idea is to give some of the motivations behind this subject. There are then two survey articles, by Julie Bergner and Simona Paoli, about (infinity,1) categories and about the algebraic modelling of homotopy n-types. These are areas that are particularly well understood, and where a fully integrated theory exists. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures. An article by Stephen Lack gives a thorough, but informal, guide to this theory. A paper by Larry Breen on the theory of gerbes shows how such categorical structures appear in differential geometry. This book is dedicated to Max Kelly, the founder of the Australian school of category theory, and an historical paper by Ross Street describes its development
The classifying space of a topological 2-group( )

1 edition published in 2008 in German and held by 6 WorldCat member libraries worldwide

Conformally invariant quantum fields by John C Baez( Book )

2 editions published in 1986 in English and held by 2 WorldCat member libraries worldwide

Drag measurements on a platoon of vehicles by M Zabat( Book )

1 edition published in 1994 in English and held by 1 WorldCat member library worldwide

Octoniones y teoría de cuerdas by John C Baez( )

in Spanish and held by 1 WorldCat member library worldwide

Resumen: De niños, todos nos familiarizamos con los números. Empezamos por aprender a contar y continuamos con las sumas, las restas, las multiplicaciones y las divisiones. Pero el sistema numérico que estudiamos en la escuela no es sino uno de entre muchos posibles. Otras clases de números se emplean con frecuencia en física o geometría. Una de las alternativas más extrañas la constituyen los octoniones. Ignorados en gran medida desde su descubrimiento, en 1843, a lo largo de las últimas décadas han cobrado una importancia curiosa en teoría de cuerdas. Si dicha teoría describe de manera correcta la naturaleza, quizá los octoniones escondan la explicación de por qué el universo tiene el número de dimensiones espaciotemporales que tiene
The classifying space of a topological 2-group by John C Baez( )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

Higher dimensional algebra by John C Baez( Book )

1 edition published in 1995 in English and held by 1 WorldCat member library worldwide

School on category theory and applications : Coimbra, 13-17/7/1999( Book )

1 edition published in 1999 in English and held by 1 WorldCat member library worldwide

Strings and two-dimensional QCD for finite N by John C Baez( Book )

1 edition published in 1994 in English and held by 1 WorldCat member library worldwide

Brief van De Erven F. Bohn Haarlem aan J. Baez by De Erven F. Bohn (Haarlem)( )

1 edition published in 1896 in Dutch and held by 1 WorldCat member library worldwide

Algorithmic thermodynamics by John C Baez( )

1 edition published in 2013 in English and held by 0 WorldCat member libraries worldwide

General relativity tutorial by John C Baez( )

in English and held by 0 WorldCat member libraries worldwide

A "bunch of interconnected web pages that serve as an informal introduction to general relativity. The goal is to demystify general relativity and get across the key ideas without big complicated calculations"--Introductory paragraph
Brief van De Erven F. Bohn Haarlem aan J. Baez( )

1 edition published in 2013 in Dutch and held by 0 WorldCat member libraries worldwide

This week's finds in mathematical physics by John C Baez( )

in English and held by 0 WorldCat member libraries worldwide

A compilation of weekly reviews of articles, etc., in mathematical physics since 1993. Includes links to abstracts
Physics, topology, logic and computation a Rosetta stone by John C Baez( )

1 edition published in 2009 in English and held by 0 WorldCat member libraries worldwide

 
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Audience level: 0.64 (from 0.39 for General re ... to 0.99 for Octoniones ...)

Gauge fields, knots, and gravity
Alternative Names
Baez, J. 1961-

Baez, J. C.

Baez, J. C. 1961-

Baez, John.

Baez, John 1961-

Baez, John C.

John Baez physicien américain

John Baez US-amerikanischer mathematischer Physiker

John C. Baez Amerikaans wiskundige

John C. Baez amerikansk fysikar og matematikar

John C. Baez amerikansk fysiker och matematiker

John C. Baez amerikansk fysiker og matematiker

John Carlos Baez

John Carlos Baez fisico statunitense

Джон Баэз

Ջոն Բաես

جان سی. باز ریاضی‌دان و فیزیک‌دان آمریکایی

जॉन सी॰ बैज़

约翰·贝兹

Languages
English (84)

Dutch (2)

Spanish (1)

German (1)

Covers
Towards higher categories