This book is an introduction to techniques and results in diagrammatic algebra. It starts with abstract tensors and their categorifications, presents diagrammatic methods for studying Frobenius and Hopf algebras, and discusses their relations with topological quantum field theory and knot theory. The text is replete with figures, diagrams, and suggestive typography that allows the reader a glimpse into many higher dimensional processes. The penultimate chapter summarizes the previous material by demonstrating how to braid 3- and 4- dimensional manifolds into 5- and 6-dimensional spaces. The book is accessible to post-qualifier graduate students, and will also be of interest to algebraists, topologists and algebraic topologists who would like to incorporate diagrammatic techniques into their research

Ville d'édition : Providence, Rhode Island

Langue : Anglais

Keywords : Algebraic topology ; Homology theory ; Topologie algébrique ; Intersection homology theory ; Homologie ; Homologie d'intersection

ISSN : 0885-4653

Collation : ill en noir et en coul.#26 cm# ; Bibliogr. p. 357-360. Index

Collection : Mathematical surveys and monographs

N° de collection : 0264

Localisation : Collection 1er étage

Type d'ouvrage : Monographie

Disponibilité : empruntable

Niveau d'autorisation : Public

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