Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Adam S. Sikora"'
Autor:
Robert E. Tuzun, Adam S. Sikora
Extending upon our previous work, we verify the Jones Unknot Conjecture for all knots up to $24$ crossings. We describe the method of our approach and analyze the growth of the computational complexity of its different components.
7 pages, Journ
7 pages, Journ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ac68b473f28a648c3c92b4e8d37a0e7
http://arxiv.org/abs/2003.06724
http://arxiv.org/abs/2003.06724
Autor:
Charles Frohman, Adam S. Sikora
The $SU_3$-skein algebra of a surface $F$ is spanned by isotopy classes of certain framed graphs in $F\times I$ called $3$-webs subject to the skein relations encapsulating relations between $U_q(sl(3))$-representations. These skein algebras are quan
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5e028ec96286610d620d7f67e3604ec
http://arxiv.org/abs/2002.08151
http://arxiv.org/abs/2002.08151
Publikováno v:
Oberwolfach Reports. 17:1315-1316
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e79ad9691600ca9338761d28311a803e
https://doi.org/10.4171/owr/2020/25
https://doi.org/10.4171/owr/2020/25
Autor:
Adam S. Sikora
Publikováno v:
Journal of Algebra. 478:195-214
We prove that for n ≥ 2 and all groups Γ of corank ≥2 the coordinate rings of S O ( 2 n , C ) -character varieties of Γ are not generated by trace functions nor generalized trace functions τ ϕ , γ , sending ρ : Γ → S O ( 2 n , C ) to t r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce2d2224029f874e7105c0fc3db13d13
https://doi.org/10.1016/j.jalgebra.2016.11.034
https://doi.org/10.1016/j.jalgebra.2016.11.034
Autor:
Adam S. Sikora, Sean Lawton
Publikováno v:
Algebras and Representation Theory. 20:1133-1141
Let G be a connected reductive affine algebraic group. In this short note we define the "variety of G-characters" of a finitely generated group F and show that the quotient of the G-character variety of F by the action of the trace preserving outer a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ec6fbc9ba50a1c536b43c7bdfedd3d4
https://doi.org/10.1007/s10468-017-9679-y
https://doi.org/10.1007/s10468-017-9679-y
Publikováno v:
Acta Societatis Botanicorum Poloniae, Vol 69, Iss 2, Pp 101-107 (2014)
Programmed cell death (PCD) in plants is an intensively investigated process. One of the main characteristics of PCD in both animal and plant organisms is the non-random, internucleosomal fragmentation of nuclear DNA, usually analysed using total DNA
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d28c5a0f0403a39f0fa107707e80a696
https://pbsociety.org.pl/journals/index.php/asbp/article/view/712
https://pbsociety.org.pl/journals/index.php/asbp/article/view/712
Autor:
Adam S. Sikora
Publikováno v:
Mathematische Zeitschrift. 277:241-256
We prove that for every reductive group G with a maximal torus T and the Weyl group W there is a natural normalization map chi from T^N/W to an irreducible component of the G-character variety of Z^N. We prove that chi is an isomorphism for all class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f280227dfb0d6bfee45ba577b67f08f8
https://doi.org/10.1007/s00209-013-1252-8
https://doi.org/10.1007/s00209-013-1252-8
Publikováno v:
Oberwolfach Reports. 9:2541-2596
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a0a2b0c7f22e1146bdb253975369d17b
https://doi.org/10.4171/owr/2012/42
https://doi.org/10.4171/owr/2012/42
Autor:
Adam S. Sikora, Robert E. Tuzun
Publikováno v:
Journal of Knot Theory and Its Ramifications. 27:1840009
We proved by computer enumeration that the Jones polynomial distinguishes the unknot for knots up to 22 crossings. Following an approach of Yamada, we generated knot diagrams by inserting algebraic tangles into Conway polyhedra, computed their Jones
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3d9cc7816bb98eb62587524136a19b86
https://doi.org/10.1142/s0218216518400096
https://doi.org/10.1142/s0218216518400096
Autor:
Adam S. Sikora
Publikováno v:
Transactions of the American Mathematical Society. 357:2007-2020
The cut number of a manifold M, c(M), is the largest number of disjoint two-sided hypersurfaces in M which do not separate M. Equivalently, it is the largest rank of a free group being an epimorphic image of pi_1(M). We investigate the relations betw
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::13a25c18ff12044da730802c6ab700d0
https://doi.org/10.1090/s0002-9947-04-03581-0
https://doi.org/10.1090/s0002-9947-04-03581-0