Výsledky vyhledávání - "Arf invariant"

Orthogonal groups over fields of positive characteristic

Autor: Zhang, Robin

Publikováno v: Revista de Matemática Teoría y Aplicaciones, Volume: 29, Issue: 2, Pages: 159-176, Published: DEC 2022

This exposition examines the theory of orthogonal groups and their subgroups over fields of positive characteristic, which has recently been used as an important tool in the study of automorphic forms and Langlands functionality. We present the class

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e4d17e0686069f685f39604354506e88
http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332022000200159&lng=en&tlng=en

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Linear independence of cables in the knot concordance group

Autor: Arunima Ray, JungHwan Park, Christopher William Davis

Publikováno v: Transactions of the American Mathematical Society

We produce infinite families of knots $\{K^i\}_{i\geq 1}$ for which the set of cables $\{K^i_{p,1}\}_{i,p\geq 1}$ is linearly independent in the knot concordance group. We arrange that these examples lie arbitrarily deep in the solvable and bipolar f

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a736b04e926d0120093924403d91d8ad
https://doi.org/10.1090/tran/8336

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Grupos ortogonales sobre cuerpos de característica positiva

Autor: Zhang, Robin

Publikováno v: Revista de Matemática: Teoría y Aplicaciones; Vol. 29 No. 2 (2022): Revista de Matemática: Teoría y Aplicaciones; 159-176
Revista de Matemática: Teoría y Aplicaciones; Vol. 29 Núm. 2 (2022): Revista de Matemática: Teoría y Aplicaciones; 159-176
Revista de Matemática; Vol. 29 N.º 2 (2022): Revista de Matemática: Teoría y Aplicaciones; 159-176
Portal de Revistas UCR
Universidad de Costa Rica
instacron:UCR

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od______3056::276631a9d855ec3531a05e3b92622fb8
https://revistas.ucr.ac.cr/index.php/matematica/article/view/49254

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Akademický článek

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Stably slice disks of links

Autor: Matthias Nagel, Anthony Conway

Publikováno v: Journal of Topology

We define the stabilizing number $\operatorname{sn}(K)$ of a knot $K \subset S^3$ as the minimal number $n$ of $S^2 \times S^2$ connected summands required for $K$ to bound a nullhomotopic locally flat disc in $D^4 \# n S^2 \times S^2$. This quantity

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1a0233df4744bcf582ec62944ff3538
https://doi.org/10.1112/topo.12154

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Akademický článek

Vanishing of the Rochlin Invariants of Some $Z_2$-Homology 3-Spheres

Autor: Kawauchi, Akio

Publikováno v: Proceedings of the American Mathematical Society, 1980 Jun 01. 79(2), 303-307.

Externí odkaz: https://www.jstor.org/stable/2043255

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Akademický článek

Cobordism Invariants, the Kervaire Invariant and Fixed Point Free Involutions

Autor: Browder, William

Publikováno v: Transactions of the American Mathematical Society, 1973 Apr 01. 178, 193-225.

Externí odkaz: https://www.jstor.org/stable/1996697

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Embedding spheres in knot traces

Autor: Mark Powell, Allison N. Miller, Arunima Ray, Peter Feller, Matthias Nagel, Patrick Orson

Publikováno v: Compositio Mathematica
Compositio Mathematica, 2021, Vol.157(10), pp.2242-2279 [Peer Reviewed Journal]
Compositio Mathematica, 157 (10)

The trace of the -framed surgery on a knot in is a 4-manifold homotopy equivalent to the 2-sphere. We characterise when a generator of the second homotopy group of such a manifold can be realised by a locally flat embedded -sphere whose complement ha

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c1b789d9aa3d7d4ff47f47f6f511f83a
https://hdl.handle.net/21.11116/0000-0009-7CA2-521.11116/0000-0009-7CA4-321.11116/0000-0009-7CA5-2

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