Theoretical Legitimacy of ‘Strategic Entrepreneurship’: How does a firm engage in entrepreneurial exploration as well as strategic consolidation?

Theoretical legitimacy of ‘strategic management’ has not yet been established. This exploratory theoretical paper revisits the connection between entrepreneurship and strategy. Examining data of decisions in two firms across their initial years, one of which sold to a larger buyer and the other did not, this paper attempts to trace the firms’ path in navigating the tension between entrepreneurial exploration necessary for initial growth on the one hand, and strategic direction, on the other, through building efficiency routines necessary for profitable exploitation. Preliminary results and implications are discussed

Implication of U-duality for black branes in M/string theory

U-duality symmetry of M-theory and S and T-duality of string theory can be used to study various black branes solutions. We explore some aspect of this idea here. This symmetry can be used to get relations among various components of the metric of the black brane. These relations in turn give relations among various components of the energy-momentum tensor. We show that, using these relations, without knowing the explicit form of form fields, we can get the black brane solutions. These features were studied previously in the context of M-theory. Here we extensively studied them in string theory (type II supergravity). We also show that this formulation works for exotic branes. We give an example of a time-dependent system where this method is essential.Comment: 21 pages, journal versio

Quantum Isometry Groups: Examples and Computations

In this follow-up of the article: Quantum Group of Isometries in Classical and Noncommutative Geometry(arXiv:0704.0041) by Goswami, where quantum isometry group of a noncommutative manifold has been defined, we explicitly compute such quantum groups for a number of classical as well as noncommutative manifolds including the spheres and the tori. It is also proved that the quantum isometry group of an isospectral deformation of a (classical or noncommutative) manifold is a suitable deformation of the quantum isometry group of the original (undeformed) manifold.Comment: minor corrections and notational changes made; results of section 3 strengthened by relaxing the assumption of nuclearit

Approximation Schemes for Partitioning: Convex Decomposition and Surface Approximation

We revisit two NP-hard geometric partitioning problems - convex decomposition and surface approximation. Building on recent developments in geometric separators, we present quasi-polynomial time algorithms for these problems with improved approximation guarantees.Comment: 21 pages, 6 figure

Faithful compact quantum group actions on connected compact metrizable spaces

We construct faithful actions of quantum permutation groups on connected compact metrizable spaces. This disproves a conjecture of Goswami.Comment: 8 page