Zobrazeno 1 - 10
of 15
pro vyhledávání: '"Rob Schneiderman"'
Autor:
Peter Teichner, Rob Schneiderman
Publikováno v:
Annals of Mathematics
We compute the group of link homotopy classes of link maps of two 2-spheres into 4-space. It turns out to be free abelian, generated by geometric constructions applied to the Fenn-Rolfsen link map and detected by two self-intersection invariants intr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2de127093aa9b4c5b2f431b74de000ff
https://hdl.handle.net/21.11116/0000-0005-52A4-521.11116/0000-0005-52A6-321.11116/0000-0005-52A7-2
https://hdl.handle.net/21.11116/0000-0005-52A4-521.11116/0000-0005-52A6-321.11116/0000-0005-52A7-2
Publikováno v:
Oberwolfach Reports. 11:1403-1458
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9d0c2800083bfa413f0fbdebb4df47d
https://doi.org/10.4171/owr/2014/26
https://doi.org/10.4171/owr/2014/26
Publikováno v:
Geometry & Topology
Geom. Topol. 16, no. 3 (2012), 1419-1479
Geom. Topol. 16, no. 3 (2012), 1419-1479
This paper computes Whitney tower filtrations of classical links. Whitney towers consist of iterated stages of Whitney disks and allow a tree-valued intersection theory, showing that the associated graded quotients of the filtration are finitely gene
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8ef2c672e519963f4e5be7757c98169e
https://doi.org/10.2140/gt.2012.16.1419
https://doi.org/10.2140/gt.2012.16.1419
Autor:
Rob Schneiderman
Publikováno v:
Pacific Journal of Mathematics. 222:169-184
A geometric characterization of the Arf invariant of a knot in the 3-sphere is given in terms of two kinds of 4-dimensional bordisms, half-gropes and Whitney towers. These types of bordisms have associated complexities class and order which filter th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7609fc443d2f9ca786ae17005674bfcc
https://doi.org/10.2140/pjm.2005.222.169
https://doi.org/10.2140/pjm.2005.222.169
Publikováno v:
Journal of Knot Theory and its Ramifications
We show that Cochran's invariants [Formula: see text] of a [Formula: see text]-component link [Formula: see text] in the [Formula: see text]-sphere can be computed as intersection invariants of certain 2-complexes in the [Formula: see text]-ball with
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c6ba26dd803512bc2dd403c88220830e
https://doi.org/10.1142/s0218216517400120
https://doi.org/10.1142/s0218216517400120
Publikováno v:
Geom. Topol. 16, no. 1 (2012), 555-600
Geometry & Topology
Geometry & Topology
In his study of the group of homology cylinders, J Levine [Algebr. Geom. Topol. 2 (2002) 1197–1204] made the conjecture that a certain group homomorphism [math] is an isomorphism. Both [math] and [math] are defined combinatorially using trivalent t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e244851380e6d12b25cccd4912f870f8
https://projecteuclid.org/euclid.gt/1513732389
https://projecteuclid.org/euclid.gt/1513732389
Publikováno v:
Journal of Topology
This paper describes the relationship between the first non-vanishing Milnor invariants of a classical link and the intersection invariant of a twisted Whitney tower. This is a certain 2-complex in the 4-ball, built from immersed disks bounded by the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6fb539826e43a9a3b07a10585ecdec4a
Autor:
Rob Schneiderman
Publikováno v:
Algebr. Geom. Topol. 10, no. 1 (2010), 373-432
Knots and links in 3-manifolds are studied by applying intersection invariants to singular concordances. The resulting link invariants generalize the Arf invariant, the mod 2 Sato-Levine invariants, and Milnor's triple linking numbers. Besides fittin
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f404daa2c0947073406e30239bc1981
http://arxiv.org/abs/0812.4696
http://arxiv.org/abs/0812.4696
Autor:
Rob Schneiderman, Peter Teichner
We continue to develop an obstruction theory for embedding 2-spheres into 4-manifolds in terms of Whitney towers. The proposed intersection invariants take values in certain graded abelian groups generated by labelled trivalent trees, and with relati
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c2c42f907d12855e24c916891041a413