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bibliography.bib
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title = {The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots},
author = {Adams, C.},
year = 1994,
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language = {brazilian}
}
@article{classificacao,
title = {Studying links via closed braids. III. Classifying links which are closed 3-braids},
author = {Birman, J.~S. and Menasco, W.~W.},
year = 1993,
journal = {Pacific J. Math.},
volume = 161,
number = 1,
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@book{Livro-do-Margalit,
title = {Office Hours With a Geometric Group Theorist},
author = {Clay, M. and Margalit, D.},
year = 2017,
publisher = {Princeton University Press},
language = {brazilian}
}
@article{limite-superior-1,
title = {An upper bound on Reidemeister moves},
author = {Coward, A. and Lackenby, M.},
journal = {Amer. J. Math.},
fjournal = {American Journal of Mathematics},
volume = {136},
year = {2014},
number = {4},
pages = {1023--1066},
issn = {0002-9327},
mrclass = {57M27 (57M25)},
mrnumber = {3245186},
mrreviewer = {Stefan K. Friedl},
doi = {10.1353/ajm.2014.0027},
url = {https://doi.org/10.1353/ajm.2014.0027},
language = {brazilian}
}
@article{sunshades-fold-oddly,
title = {Topology explains why automobile sunshades fold oddly},
author = {Feist, C. and Naimi, R.},
journal = {College Math. J.},
fjournal = {The College Mathematics Journal},
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year = {2009},
number = {2},
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issn = {0746-8342},
mrclass = {57M07 (57M25)},
mrnumber = {2493172},
mrreviwer = {J. S. Birman},
doi = {10.4169/193113409X469523},
url = {https://doi.org/10.4169/193113409X469523},
language = {brazilian}
}
@book{Livro-do-Fraleigh,
title = {A First Course in Abstract Algebra, 7th edition},
author = {Fraleigh, J.},
year = 2003,
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@book{Gallian,
title = {Contemporary Abstract Algebra, 8th edition},
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}
@article{basic-results,
title = {Basic results on braid groups},
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year = 2011,
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volume = 18,
number = 1,
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}
@article{limite-superior-2,
title = {The number of Reidemeister moves needed for unknotting},
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year = 2001,
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volume = 14,
number = 1,
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language = {brazilian}
}
@book{johnson,
title = {Presentations of groups, 2nd edition},
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year = 1997,
publisher = {Cambridge University Press},
language = {brazilian}
}
@book{Joyner,
title = {Adventures in Group Theory: Rubik's Cube, Merlin's Machine and Other Mathematical Toys, 2nd edition},
author = {Joyner, D.},
year = 2008,
publisher = {The Johns Hopkins University Press},
language = {brazilian}
}
@book{Livro-da-Springer,
title = {Braid Groups},
author = {Kassel, C. and Turaev, V.},
year = 2008,
publisher = {Springer},
language = {brazilian}
}
@book{Livro-do-Kunio,
title = {A Study of Braids},
author = {Kurpita, B.; Murasugi, K.},
year = 1999,
publisher = {Kluwer Academic Publisher},
language = {brazilian}
}
@article{limite-superior-3,
title = {A polynomial upper bound on Reidemeister moves},
author = {Lackenby, M.},
journal = {Ann. of Math. (2)},
fjournal = {Annals of Mathematics. Second Series},
volume = {182},
year = {2015},
number = {2},
pages = {491--564},
issn = {0003-486X},
mrclass = {57M25},
mrnumber = {3418524},
mrreviwer = {Fabiola Manjarrez-Guti\'{e}rrez},
doi = {10.4007/annals.2015.182.2.3},
url = {https://doi.org/10.4007/annals.2015.182.2.3},
language = {brazilian}
}
@book{no-toral,
title = {An introduction to knot theory an the knot group},
author = {Linov, L.},
year = 2014,
publisher = {University of Chicago REU},
language = {brazilian}
}
@misc{produto-semidireto,
author = {Milne, J.~S.},
title = {Group Theory (v4.00)},
year = {2021},
note = {Available at www.jmilne.org/math/},
pages = {139},
language = {brazilian}
}
@book{Siegfried-Moran,
title = {The Mathematical Theory of Knots and Braids: An Introduction},
author = {Moran, S.},
year = 1983,
publisher = {Elsevier Science Publishers B.V.},
language = {brazilian}
}
@article{Piccirillo,
title = {The Conway knot is not slice},
author = {Piccirillo, L.},
year = 2020,
journal = {Annals of Mathematics},
volume = 18,
number = 2,
pages = {581--591},
language = {brazilian}
}
@article {Jones-detecta-no-trivial-1,
author = {Tuzun, R.~E. and Sikora, A.~S.},
title = {Verification of the {J}ones unknot conjecture up to 22 crossings},
journal = {J. Knot Theory Ramifications},
fjournal = {Journal of Knot Theory and its Ramifications},
volume = {27},
year = {2018},
number = {3},
pages = {1840009, 18},
issn = {0218-2165},
mrclass = {57M25 (57M27)},
mrnumber = {3786783},
doi = {10.1142/S0218216518400096},
url = {https://doi.org/10.1142/S0218216518400096},
language = {brazilian}
}
@article {Jones-detecta-no-trivial-2,
author = {Tuzun, Robert E. and Sikora, Adam S.},
title = {Verification of the {J}ones unknot conjecture up to 24 crossings},
journal = {J. Knot Theory Ramifications},
fjournal = {Journal of Knot Theory and its Ramifications},
volume = {30},
year = {2021},
number = {3},
pages = {Paper No. 2150020, 6},
issn = {0218-2165},
mrclass = {57K14 (57K10)},
mrnumber = {4259507},
doi = {10.1142/S0218216521500206},
url = {https://doi.org/10.1142/S0218216521500206},
language = {brazilian}
}
@book{RTG-braids,
title = {The geometry and topology of braid groups},
author = {Wilson, J.},
year = 2018,
publisher = {University of Chicago},
language = {brazilian}
}