1,792 research outputs found
Small intersection numbers in the curve graph
Let denote the genus orientable surface with
punctures, and let . We prove the existence of infinitely
long geodesic rays in the curve graph
satisfying the following optimal intersection property: for any natural number
, the endpoints of any length subsegment intersect
times. By combining this with work of the first author, we
answer a question of Dan Margalit.Comment: 13 pages, 6 figure
On the topology of ending lamination space
We show that if S is a finite type orientable surface of genus g and p
punctures where 3g+p > 4, then EL(S) is (n-1)-connected and (n-1)-locally
connected where dim(PML(S))=2n+1=6g+2p-7. Furthermore, if g=0, then EL(S) is
homeomorphic to the p-4 dimensional Nobeling space
Examples of amalgamated free products and coupling rigidity
We present amalgamated free products satisfying coupling rigidity with
respect to the automorphism group of the associated Bass-Serre tree. As an
application, we obtain orbit equivalence rigidity for amalgamated free products
of mapping class groups.Comment: 28 pages, 1 figure. This is an expansion of a part of v1 in
arXiv:0902.288
On the Meissner Effect of the Odd-Frequency Superconductivity with Critical Spin Fluctuations: Possibility of Zero Field FFLO pairing
We investigate the influence of critical spin fluctuations on electromagnetic
responses in the odd-frequency superconductivity. It is shown that the Meissner
kernel of the odd-frequency superconductivity is strongly reduced by the
critical spin fluctuation or the massless spin wave mode in the
antiferromagnetic phase. These results imply that the superfluid density is
reduced, and the London penetration depth is lengthened for the odd-frequency
pairing. It is also shown that the zero field Flude-Ferrell-Larkin-Ovchinnikov
pairing is spontaneously realized both for even- and odd-frequency in the case
of sufficiently strong coupling with low lying spin-modes.Comment: 10 pages, 7 figure
A priori mixed hadrons, hyperon non-leptonic decays, and the |\Delta I|=1/2 rule
The |\Delta I|=1/2 rule in non-leptonic decays of hyperons can be naturally
understood by postulating a priori mixed physical hadrons, along with the
isospin invariance of the responsible transition operator. It is shown that
this operator can be identified with the strong interaction Yukawa hamiltonian.Comment: Workshops on Particles and Fields and Phenomenology of Fundamental
Interactions. J. C. D'Olivo, A. Fernandez, and M. A. Perez, Ed
Dimension and rank for mapping class groups
We study the large scale geometry of the mapping class group, MCG. Our main
result is that for any asymptotic cone of MCG, the maximal dimension of locally
compact subsets coincides with the maximal rank of free abelian subgroups of
MCG. An application is an affirmative solution to Brock-Farb's Rank Conjecture
which asserts that MCG has quasi-flats of dimension N if and only if it has a
rank N free abelian subgroup. We also compute the maximum dimension of
quasi-flats in Teichmuller space with the Weil-Petersson metric.Comment: Incorporates referee's suggestions. To appear in Annals of
Mathematic
Stability analysis for parameterized variational systems with implicit constraints
In the paper we provide new conditions ensuring the isolated calmness
property and the Aubin property of parameterized variational systems with
constraints depending, apart from the parameter, also on the solution itself.
Such systems include, e.g., quasi-variational inequalities and implicit
complementarity problems. Concerning the Aubin property, possible restrictions
imposed on the parameter are also admitted. Throughout the paper, tools from
the directional limiting generalized differential calculus are employed
enabling us to impose only rather weak (non-restrictive) qualification
conditions. Despite the very general problem setting, the resulting conditions
are workable as documented by some academic examplesComment: 26 page
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