Branislav Jurco's Books

Basic Bundle Theory and K-Cohomology Invariants

By: Dale Husemöller,Michael Joachim,Branislav Jurco,Martin Schottenloher

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Basic Bundle Theory and K-Cohomology Invariants

By: Dale Husemöller,Michael Joachim,Branislav Jurco,Martin Schottenloher

Based on several recent courses given to mathematical physics students, this volume is an introduction to bundle theory. It aims to provide newcomers to the field with solid foundations in topological K-theory. A fundamental theme, emphasized in the book, centers around the gluing of local bundle data related to bundles into a global object. One renewed motivation for studying this subject, comes from quantum field theory, where topological invariants play an important role.

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Page Count

344

Publisher

Springer

Published Date

ISBN 10

354074956X

ISBN 13

9783540749561

Algebraic Structure of String Field Theory

By: Martin Doubek,Branislav Jurčo,Martin Markl,Ivo Sachs

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Algebraic Structure of String Field Theory

By: Martin Doubek,Branislav Jurčo,Martin Markl,Ivo Sachs

This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin. Part I reviews string field theory from the point of view of homotopy algebras, including A-infinity algebras, loop homotopy (quantum L-infinity) and IBL-infinity algebras governing its structure. Within this framework, the covariant construction of a string field theory naturally emerges as composition of two morphisms of particular odd modular operads. This part is intended primarily for researchers and graduate students who are interested in applications of higher algebraic structures to strings and quantum field theory. Part II contains a comprehensive treatment of the mathematical background on operads and homotopy algebras in a broader context, which should appeal also to mathematicians who are not familiar with string theory.

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