8 papers
The complex K ring of the flip Stiefel manifolds
Samik Basu, Shilpa Gondhali, Fathima Safikaa
The flip Stiefel manifolds (FV_{m,2s}) are defined as the quotient of the real Stiefel manifolds (V_{m,2s}) induced by the simultaneous pairwise flipping of the co-ordinates by the…
A Study of topology of the Flip Stiefel Manifolds
Samik Basu, Safikaa Fathima, Shilpa Gondhali
A well known quotient of the real Stiefel manifold is the projective Stiefel manifold. We introduce a new family of quotients of the real Stiefel manifold by cyclic group of order…
-local decompositions of projective Stiefel manifolds
Samik Basu, Debanil Dasgupta, Shilpa Gondhali +1
The main objective of this paper is to analyze the -local homotopy type of the complex projective Stiefel manifolds, and other analogous quotients of Stiefel manifolds. We take…
Nambu structures on Lie algebroids and their modular classes
Apurba Das, Shilpa Gondhali, Goutam Mukherjee
We introduce the notion of the modular class of a Lie algebroid equipped with a Nambu structure. In particular, we recover the modular class of a Nambu-Poisson manifold with it…
Higher Toda brackets and Massey products
Hans-Joachim Baues, David Blanc, Shilpa Gondhali
We provide a uniform definition of higher order Toda brackets in a general setting, covering the known cases of long Toda brackets for topological spaces and chain complexes and Ma…
Modular Class of a Lie algebroid with a Nambu structure
Apurba Das, Shilpa Gondhali, Goutam Mukherjee
In this paper, we introduce the notion of modular class of a Lie algebroid equipped with a Nambu structure satisfying some suitable hypothesis. We also introduce cohomology and…
Vector fields on right generalized complex projective Stiefel manifolds
Shilpa Gondhali, B. Subhash
The question of paralleizability and stable parallelizability of a family of manifolds obtained as a quotients of circle action on the complex Stiefel manifolds are studied and set…
Vector Fields on certain quotients of complex Stiefel manifolds
Shilpa Gondhali, Parameswaran Sankaran
We consider quotients of complex Stiefel manifolds by finite cyclic groups whose action is induced by the scalar multiplication on the corresponding complex vector space. We obtain…