18 citations
5 papers
Asymptotic formula for sum-free sets in abelian groups
R. Balasubramanian, Gyan Prakash
Let A be a subset of a finite abelian group G. We say that A is sum-free if there is no solution of the equation x + y = z, with x, y, z belonging to the set A. Let SF(G) denotes t…
The planar algebra of a semisimple and cosemisimple Hopf algebra
Vijay Kodiyalam, V. S. Sunder
To a semisimple and cosemisimple Hopf algebra over an algebraically closed field, we associate a planar algebra defined by generators and relations and show that it is a connected,…
Schwarz Type Topological Quantum Field Theories
R. K. Kaul, T. R. Govindarajan, P. Ramadevi
Topological quantum field theories can be used to probe topological properties of low dimensional manifolds. A class of these theories known as Schwarz type theories, comprise of C…
A quantum McKay correspondence for fractional 2p-branes on LG orbifolds
Bobby Ezhuthachan, Suresh Govindarajan, T. Jayaraman
We study fractional 2p-branes and their intersection numbers in non-compact orbifolds as well the continuation of these objects in Kahler moduli space to coherent sheaves in the co…
Breakdown of Heterogeneous Materials
Purusattam Ray
We discuss the threshold activated extremal dynamics that is prevalent in the breakdown processes in heterogeneous materials. We model such systems by an elastic spring network wit…