Zobrazeno 1 - 10
of 12
pro vyhledávání: '"Saso Strle"'
Autor:
Saso Strle, Brendan Owens
Publikováno v:
American Journal of Mathematics. 134:891-913
We prove a generalization of Elkies' characterization of the ${\Bbb{Z}}^n$ lattice to nonunimodular definite forms (and lattices). Combined with inequalities of Fr{\o}yshov and of Ozsv\'{a}th and Szab\'{o}, this gives a simple test of whether a ratio
Publikováno v:
Geom. Topol. 19, no. 1 (2015), 439-494
We investigate constraints on embeddings of a non-orientable surface in a $4$-manifold with the homology of $M \times I$, where $M$ is a rational homology $3$-sphere. The constraints take the form of inequalities involving the genus and normal Euler
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::571fc6318213c1980ed401bb5e5c6776
https://projecteuclid.org/euclid.gt/1510858685
https://projecteuclid.org/euclid.gt/1510858685
Autor:
Saso Strle, Brendan Owens
Publikováno v:
Advances in Mathematics. 200(1):196-216
Using the Heegaard Floer homology of Ozsváth and Szabó we investigate obstructions to a rational homology sphere bounding a four-manifold with a definite intersection pairing. As an application we obtain new lower bounds for the four-ball genus of
Autor:
Saso Strle, Brendan Owens
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:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a02a1ff34bf6d97a8b253cd2b7f931e8
http://arxiv.org/abs/1311.6702
http://arxiv.org/abs/1311.6702
Autor:
Saso Strle, Daniel Ruberman
Publikováno v:
Mathematical Research Letters. 7:789-799
We show that the mod 2 Seiberg-Witten invariant can be determined for a spin manifold X which has the same homology groups as the 4-torus. The value depends on the structure of the cohomology ring of X, and in particular on the 4-fold cup product on
Publikováno v:
Physics Letters A. 235:24-30
The effect of non-linear mapping from the time domain to the phase space may result in an overestimation of the correlation dimension. We analyse the origin of the overestimation and suggest a criterion for the number of points necessary to approach
Autor:
Brendan Owens, Saso Strle
Given a knot K in the three-sphere, we address the question: which Dehn surgeries on K bound negative-definite four-manifolds? We show that the answer depends on a number m(K), which is a smooth concordance invariant. We study the properties of this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66c0e37eeb9213c77d20d58370e6b027
https://eprints.gla.ac.uk/59595/1/59595.pdf
https://eprints.gla.ac.uk/59595/1/59595.pdf
Publikováno v:
Open Systems & Information Dynamics. 3:149-178
The monitoring of various natural phenomena yields data sets sustaining the dynamics of usually very complex systems. The question then is: how to reveal the characteristics and the nature of a system? In approaching this question, the calculation of
Autor:
Saso Strle, Daniel Ruberman
We investigate the concordance properties of `parallel links' P(K), given by the (2,0) cable of a knot K. We focus on the question: if P(K) is concordant to a split link, is K necessarily slice? We show that if P(K) is smoothly concordant to a split
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14bfb1b9c1d7ec2f27d22d0b38f96ca3
http://arxiv.org/abs/1108.4476
http://arxiv.org/abs/1108.4476
Publikováno v:
Geom. Topol. 12, no. 4 (2008), 2249-2275
By studying the Heegaard Floer homology of the preimage of a knot K in S^3 inside its double branched cover, we develop simple obstructions to K having finite order in the classical smooth concordance group. As an application, we prove that all 2-bri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82b7ad5297396524d8da27e5a072ad94