Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Ian Agol"'
Publikováno v:
Forum of Mathematics, Pi, Vol 4 (2016)
We give an alternate proof of Wise’s malnormal special quotient theorem (MSQT), avoiding cubical small cancelation theory. We also show how to deduce Wise’s Quasiconvex Hierarchy Theorem from the MSQT and theorems of Hsu and Wise and Haglund and
Externí odkaz:
https://doaj.org/article/abd374b0ab3442028f87f4d3c27ccb86
Autor:
Ian Agol
Publikováno v:
Communications of the American Mathematical Society. 2:374-379
In this note we show that ribbon concordance forms a partial ordering on the set of knots, answering a question of Gordon [Math. Ann. 257 (1981), pp. 157–170, Conjecture 1.1]. The proof makes use of representation varieties of the knot groups to S
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3ef4e3ed4b243ba99f2c98dacac6104f
https://doi.org/10.1090/cams/15
https://doi.org/10.1090/cams/15
Autor:
Ian Agol, Vyacheslav Krushkal
Publikováno v:
Proceedings of Symposia in Pure Mathematics. :1-20
We establish a quadratic identity for the Yamada polynomial of ribbon cubic graphs in 3-space, extending the Tutte golden identity for planar cubic graphs. An application is given to the structure of the flow polynomial of cubic graphs at zero. The g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::438663d33ce7c327ace6bc3fe293a189
https://doi.org/10.1090/pspum/102/01
https://doi.org/10.1090/pspum/102/01
Autor:
Ian Agol, Nathan M. Dunfield
We study when the Thurston norm is detected by twisted Alexander polynomials associated to representations of the 3-manifold group to SL(2, C). Specifically, we show that the hyperbolic torsion polynomial determines the genus for a large class of hyp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d77c8525d37640fd7e318703aea578ad
https://doi.org/10.1515/9780691185897-002
https://doi.org/10.1515/9780691185897-002
Autor:
Michael H. Freedman, Ian Agol
A smooth embedding of a closed $3$-manifold $M$ in $\mathbb{R}^4$ may generically be composed with projection to the fourth coordinate to determine a Morse function on $M$ and hence a Heegaard splitting $M=X\cup_\Sigma Y$. However, starting with a He
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5fb23f929915417ef5122c73fff4f057
http://arxiv.org/abs/1906.03244
http://arxiv.org/abs/1906.03244
Publikováno v:
Journal of the London Mathematical Society. 93:664-682
We consider the pseudo-Anosov elements of the mapping class group of a surface of genus g that fix a rank k subgroup of the first homology of the surface. We show that the smallest entropy among these is comparable to (k+1)/g. This interpolates betwe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef3a2d27a8a4c314fed31046539aa0ee
https://doi.org/10.1112/jlms/jdw008
https://doi.org/10.1112/jlms/jdw008
Autor:
Michael H. Freedman, Ian Agol
Publikováno v:
Annales de la Faculté des sciences de Toulouse : Mathématiques. 24:1079-1101
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::6c7c1b494b410fa680c611fe1bc3f5a4
https://doi.org/10.5802/afst.1476
https://doi.org/10.5802/afst.1476
Autor:
David Gabai, Steven Kerckhoff, Yair Minsky, Lee Mosher, Jeff Weeks, Benson Farb, Danny Calegari, Ian Agol, Genevieve Walsh, Carol Wood, Tan Lei, Curtis T. McMullen
Publikováno v:
Notices of the American Mathematical Society. 63:31-41
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e8d195f5ad68fd4061ab4f230714527d
https://doi.org/10.1090/noti1324
https://doi.org/10.1090/noti1324
Autor:
Ian Agol, Francesco Lin
We show the existence of hyperbolic 4-manifolds with vanishing Seiberg-Witten invariants, addressing a conjecture of Claude LeBrun. This is achieved by showing, using results in geometric and arithmetic group theory, that certain hyperbolic 4-manifol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f8011fa7c1ea1f13b1f9b4263c058953