Kavli Affiliate: Toshitake Kohno | Summary:We prove that, except for a few explicit roots of unity, the quantum image of any Johnson subgroup of the mapping class group contains an explicit free non-abelian subgroup. | Search Query: arXiv Query: search_query=au:”Kohno Toshitake”&id_list=&start=0&max_results=10Read More
Kavli Affiliate: Yukari Ito | Summary:In this paper we consider the iterated G-equivariant Hilbert scheme G/N-Hilb(N-Hilb) and prove that G/N-Hilb(N-Hilb(C^3)) is a crepant resolution of C^3/G isomorphic to the moduli space of θ-stable representations of the McKay quiver for certain stability condition θ. We provide several explicit examples to illustrate this construction. We also consider […]
Kavli Affiliate: Edmund Bertschinger | Summary:We investigate the observational consequences of the quintessence field rolling to and oscillating near a minimum in its potential, "if" it happens close to the present epoch (z<0.2). We show that in a class of models, the oscillations lead to a rapid growth of the field fluctuations and the gravitational […]