000 02646nam a2200385 i 4500
003 UVAL
005 20240507121723.0
006 a||||gr|||| 00| 0
007 ta
008 220105s2019 enk rb 001 0 eng
010 _a 2021029784
020 _a9781108925860
040 _aDIBRA
_bspa
_cUVAL
_erda
041 1 _aeng
_hfre
082 0 4 _a514.224
_223
100 1 _aDehornoy, Patrick,
_eautor.
_9236427.
240 1 0 _aCalcul des tresses.
_lEnglish.
245 1 4 _aThe calculus of braids :
_ban introduction, and beyond /
_cPatrick Dehornoy ; translated by Danièle Gibbons, Greg Gibbons.
264 1 _aCambridge ;
_aNew York, New York :
_bCambridge University Press,
_c2019.
300 _a245 páginas.
490 0 _aLondon Mathematical Society student texts ;
_v100
500 _aIncluye índice.
504 _aIncluye referencias bibliográficas.
505 0 _aGeometric braids -- Braid groups -- Braid monoids -- The greedy normal form -- The Artin representation -- Handle reduction -- The Dynnikov coordinates -- A few avenues of investigation -- Solutions to the exercises.
520 _a"Everyone knows what braids are, whether they be made of hair, knitting wool, or electrical cables. However, it is not at all evident that we can construct a theory about them, that is, elaborate a coherent and mathematically interesting corpus of results concerning them. Our goal here is to convince the reader that there is a resoundingly positive response to this question: braids are indeed fascinating objects, with a variety of rich mathematical properties. For this, we will concentrate on carefully and completely establishing only a few selected results. What they have in common is the sophistication of the proofs they require, in spite of their very simple statements. At the heart of the approach, a natural multiplication operation of braids leads to group structures, the braid groups. Combining both algebraic and topological aspects, these groups enjoy multiple interesting properties and are at the same time simple and complex"--
_cProvided by publisher.
588 _aDescription based on print version record and CIP data provided by publisher; resource not viewed.
650 1 4 _aMATEMATICAS
_970034.
700 1 _aGibbons, Danièle,
_e, traductora
_9236428.
700 1 _aGibbons, Greg,
_e, traductor
_9236429.
776 0 8 _iPrint version:
_aDehornoy, Patrick.
_tCalculus of braids
_dCambridge ; New York, NY : Cambridge University Press, 2022
_z9781108843942
_w(DLC) 2021029783
942 _2ddc
_cBK
999 _c283148
_d283148