16 citations · 21 across the 11 of their papers we have counts for
11 papers
Thurston boundary of Teichmüller spaces and the commensurability modular group
Indranil Biswas, Mahan Mitra, Subhashis Nag
If is an unramified covering map between two compact oriented surfaces of genus at least two, then it is proved that the embedding map, corresponding to , from the…
Limit constructions over Riemann surfaces and their parameter spaces, and the commensurability group actions
Indranil Biswas, Subhashis Nag
To any compact hyperbolic Riemann surface , we associate a new type of automorphism group -- called its *commensurability automorphism group*, . The members of $ComAu…
Weil-Petersson geometry and determinant bundles on inductive limits of moduli spaces
Indranil Biswas, Subhashis Nag
In an earlier paper [Acta Mathematica, v. 176, 1996, 145-169, alg-geom/9505024 ] the present authors and Dennis Sullivan constructed the universal direct system of the classical Te…
Mathematics in and out of String Theory
Subhashis Nag
We first give an exposition of how the Polyakov path integral for the bosonic string produces a natural mapping class group invariant measure, , on the Teichmüller space o…
Determinant Bundles, Quillen Metrics, and Mumford Isomorphisms Over the Universal Commensurability Teichmüller Space
Indranil Biswas, Subhashis Nag, Dennis Sullivan
There exists on each Teichmüller space (comprising compact Riemann surfaces of genus ), a natural sequence of determinant (of cohomology) line bundles, , related to…
Universal Hodge Bundle and Mumford Isomorphisms on the Abelian Inductive Limit of Teichmüller Spaces
Indranil Biswas, Subhashis Nag, Dennis Sullivan
Let $\Mg$ denote the moduli space of compact Riemann surfaces of genus . Mumford had proved that, for each fixed genus , there are isomorphisms asserting that certain higher…