All Outputs (207)

Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories (2014)
Journal Article
Cremonesi, S., Hanany, A., & Zaffaroni, A. (2014). Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories. Journal of High Energy Physics, 2014(01), Article 005. https://doi.org/10.1007/jhep01%282014%29005

This paper addresses a long standing problem - to identify the chiral ring and moduli space (i.e. as an algebraic variety) on the Coulomb branch of an NN = 4 superconformal field theory in 2+1 dimensions. Previous techniques involved a computation of... Read More about Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories.

Auto-completion of Contours in Sketches, Maps and Sparse 2D Images Based on Topological Persistence (2014)
Presentation / Conference Contribution
Kurlin, V., Winkler, F., Negru, V., Ida, T., Jebelean, T., Petcu, D., …Zaharie, D. (2014). Auto-completion of Contours in Sketches, Maps and Sparse 2D Images Based on Topological Persistence. In SYNASC 2014 : 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing (594-601). https://doi.org/10.1109/synasc.2014.85

We design a new fast algorithm to automatically complete closed contours in a finite point cloud on the plane. The only input can be a scanned map with almost closed curves, a hand-drawn artistic sketch or any sparse dotted image in 2D without any ex... Read More about Auto-completion of Contours in Sketches, Maps and Sparse 2D Images Based on Topological Persistence.

Laplace’s Demon and the Adventures of His Apprentices (2014)
Journal Article
Frigg, R., Bradley, S., Du, H., & Smith, L. A. (2014). Laplace’s Demon and the Adventures of His Apprentices. Philosophy of Science, 81(1), 31-59. https://doi.org/10.1086/674416

The sensitive dependence on initial conditions (SDIC) associated with nonlinear models imposes limitations on the models’ predictive power. We draw attention to an additional limitation than has been underappreciated, namely, structural model error (... Read More about Laplace’s Demon and the Adventures of His Apprentices.

Smooth attractors for the quintic wave equations with fractional damping (2014)
Journal Article
Savostianov, A., & Zelik, S. (2014). Smooth attractors for the quintic wave equations with fractional damping. Asymptotic Analysis, 87(3-4), 191-221. https://doi.org/10.3233/asy-131208

Dissipative wave equations with critical quintic nonlinearity and damping term involving the fractional Laplacian are considered. The additional regularity of energy solutions is established by constructing the new Lyapunov-type functional and based... Read More about Smooth attractors for the quintic wave equations with fractional damping.

The Kanenobu knots and Khovanov-Rozansky homology (2014)
Journal Article
Lobb, A. (2014). The Kanenobu knots and Khovanov-Rozansky homology. Proceedings of the American Mathematical Society, 142(4), 1447-1455. https://doi.org/10.1090/s0002-9939-2014-11863-6

Kanenobu has given infinite families of knots with the same HOMFLYPT polynomials. We show that these knots also have the same and HOMFLYPT homologies, thus giving the first example of an infinite family of knots indistinguishable by these invariants.... Read More about The Kanenobu knots and Khovanov-Rozansky homology.

The geometric theta correspondence for Hilbert modular surfaces (2014)
Journal Article
Funke, J., & Millson, J. (2014). The geometric theta correspondence for Hilbert modular surfaces. Duke Mathematical Journal, 163(1), 65-116. https://doi.org/10.1215/00127094-2405279

We give a new proof and an extension of the celebrated theorem of Hirzebruch and Zagier [17] that the generating function for the intersection numbers of the Hirzebruch-Zagier cycles in (certain) Hilbert modular surfaces is a classical modular form o... Read More about The geometric theta correspondence for Hilbert modular surfaces.

Non-abelian p-adic L-functions and Eisenstein series of unitary groups -The CM method (2014)
Journal Article
Bouganis, A. (2014). Non-abelian p-adic L-functions and Eisenstein series of unitary groups -The CM method. Annales de l'Institut Fourier, 64(2), 793-891. https://doi.org/10.5802/aif.2866

In this work we prove various cases of the so-called “torsion congruences” between abelian p-adic L-functions that are related to automorphic representations of definite unitary groups. These congruences play a central role in the non-commutative Iwa... Read More about Non-abelian p-adic L-functions and Eisenstein series of unitary groups -The CM method.