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41 papers · 1 filter
Matroids, motives and conjecture of Kontsevich
Prakash Belkale, Patrick Brosnan
Let G be a finite connected graph. The Kirchhoff polynomial of G is a certain homogeneous polynomial whose degree is equal to the first betti number of G. These polynomials appear…
Deformations of the trivial line bundle and vanishing theorems
Herbert Clemens, Christopher Hacon
This paper reproves a general form of the Green-Lazarsfeld 'generic vanishing' theorem and more recent strengthenings, as well as giving some new applications.
Spin dynamics in nonlinear optical spectroscopy of Fermi sea systems
T. V. Shahbazyan, I. E. Perakis, M. E. Raikh
We discuss the role of many-body spin correlations in nonlinear optical response of a Fermi sea system with a deep impurity level. Due to the Hubbard repulsion between electrons at…
Coherent Umklapp Scattering of Light from Disordered Photonic Crystals
A. Y. Sivachenko, M. E. Raikh, Z. V. Vardeny
A theoretical study of the coherent light scattering from disordered photonic crystal is presented. In addition to the conventional enhancement of the reflected light intensity int…
Bounded cohomology of subgroups of mapping class groups
Mladen Bestvina, Koji Fujiwara
We show that every subgroup of the mapping class group MCG(S) of a compact surface S is either virtually abelian or it has infinite dimensional second bounded cohomology. As an app…
The Galilean Nature of V-duality for Noncommutative Open String and Yang-Mills Theories
R. -G. Cai, J. X. Lu, Y. -S. Wu
A V-duality conjecture for noncommutative open string theories (NCOS) that result from decoupling D-branes in Lorentz-boost related backgrounds was put forward recently in hep-th/0…