Zobrazeno 1 - 10
of 88
pro vyhledávání: '"Owens, Brendan"'
Autor:
Greene, Joshua Evan, Owens, Brendan
When does the double cover of the three-sphere branched along an alternating link bound a rational homology ball? Heegaard Floer homology generates a necessary condition for it to bound: the link's chessboard lattice must be cubiquitous, implying tha
Externí odkaz:
http://arxiv.org/abs/2212.06248
Autor:
Owens, Brendan, Strle, Sašo
This paper provides a convenient and practical method to compute the homology and intersection pairing of a branched double cover of the 4-ball. To projections of links in the 3-ball, and to projections of surfaces in the 4-ball into the boundary sph
Externí odkaz:
http://arxiv.org/abs/2207.09358
Autor:
Owens, Brendan
These notes are based on the lectures given by the author during Winter Braids IX in Reims in March 2019. We discuss slice knots and why they are interesting, as well as some ways to decide if a given knot is or is not slice. We describe various meth
Externí odkaz:
http://arxiv.org/abs/2112.10706
Autor:
Owens, Brendan, Swenton, Frank
We describe an algorithm to find ribbon disks for alternating knots, and the results of a computer implementation of this algorithm. The algorithm is underlain by a slice link obstruction coming from Donaldson's diagonalisation theorem. It successful
Externí odkaz:
http://arxiv.org/abs/2102.11778
Autor:
Owens, Brendan
We exhibit an infinite family of rational homology balls which embed smoothly but not symplectically in the complex projective plane. We also obtain a new lattice embedding obstruction from Donaldson's diagonalisation theorem, and use this to show th
Externí odkaz:
http://arxiv.org/abs/1906.05913
Autor:
Owens, Brendan
We generalise theorems of Khodorovskiy and Park-Park-Shin, and give new topological proofs of those theorems, using embedded surfaces in the 4-ball and branched double covers. These theorems exhibit smooth codimension-zero embeddings of certain ratio
Externí odkaz:
http://arxiv.org/abs/1707.00928
Autor:
Nagel, Matthias, Owens, Brendan
We generalise theorems of Cochran-Lickorish and Owens-Strle to the case of links with more than one component. This enables the use of linking forms on double branched covers, Heegaard Floer correction terms, and Donaldson's diagonalisation theorem t
Externí odkaz:
http://arxiv.org/abs/1503.03092
Autor:
Owens, Brendan, Strle, Saso
We study three knot invariants related to smoothly immersed disks in the four-ball. These are the four-ball crossing number, which is the minimal number of normal double points of such a disk bounded by a given knot; the slicing number, which is the
Externí odkaz:
http://arxiv.org/abs/1311.6702
Autor:
Lisca, Paolo, Owens, Brendan
Turaev showed that there is a well-defined map assigning to an oriented link L in the three-sphere a Spin structure t_0 on Sigma(L), the 2-fold cover of S^3 branched along L. We prove, generalizing results of Manolescu-Owens and Donald-Owens, that fo
Externí odkaz:
http://arxiv.org/abs/1302.3190
We investigate the nature of subsets of spheres which satisfy a tameness condition associated with the Bieri-Groves conjecture on cohomological finiteness conditions for metabelian groups. We find that there is a natural polyhedrality in a crucial sp
Externí odkaz:
http://arxiv.org/abs/1208.5041