Transactions of the American Mathematical Society, Vol. 359, No. 1 (Jan., 2007), pp. 333-348 (16 pages) In this paper we study the behaviour of the Lefschetz property under the blow-up construction.

Twenty-seven years ago, a group of physicists made an accidental discovery that flipped mathematics on its head. The physicists were trying to work out the details of string theory when they observed ...

In this paper we present rotational symplectic geometry for use in modern biomechanics of human motion. Generalized Hamiltonian formalism has been formulated on the configuration manifold consisting ...

Russian-American mathematician and Wolf Prize laureate Yakov Eliashberg delivered a public talk at IIT Madras on Thursday, as part of the inaugural annual TNQ Distinguished Lecture in Mathematics. The ...

Classical field theories provide a framework for describing fundamental interactions and physical phenomena through the use of continuous fields defined over space and time. Central to these theories ...