000 02383nam a22003858i 4500
001 CR9780511615443
003 UkCbUP
005 20200124160224.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090914s2004||||enk o ||1 0|eng|d
020 _a9780511615443 (ebook)
020 _z9780521832670 (hardback)
020 _z9780521540315 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA251.5
_b.K63 2004
082 0 0 _a512/.24
_221
100 1 _aKock, Joachim,
_d1967-
_eauthor.
245 1 0 _aFrobenius algebras and 2D topological quantum field theories /
_cJoachim Kock.
246 3 _aFrobenius Algebras & 2-D Topological Quantum Field Theories
264 1 _aCambridge :
_bCambridge University Press,
_c2004.
300 _a1 online resource (xiv, 240 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v59
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aThis 2003 book describes a striking connection between topology and algebra, namely that 2D topological quantum field theories are equivalent to commutative Frobenius algebras. The precise formulation of the theorem and its proof is given in terms of monoidal categories, and the main purpose of the book is to develop these concepts from an elementary level, and more generally serve as an introduction to categorical viewpoints in mathematics. Rather than just proving the theorem, it is shown how the result fits into a more general pattern concerning universal monoidal categories for algebraic structures. Throughout, the emphasis is on the interplay between algebra and topology, with graphical interpretation of algebraic operations, and topological structures described algebraically in terms of generators and relations. The book will prove valuable to students or researchers entering this field who will learn a host of modern techniques that will prove useful for future work.
650 0 _aFrobenius algebras.
650 0 _aTopological fields.
650 0 _aQuantum field theory.
776 0 8 _iPrint version:
_z9780521832670
830 0 _aLondon Mathematical Society student texts ;
_v59.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511615443
999 _c516991
_d516989