Lusternik-Schnirelmann Category and several Topological Complexities, and their applications in robotics
Implementing Organization
Indian Institute of Technology (IIT)
Principal Investigator
Dr. Soumen Sarkar
Associate Professor
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Department of Biotechnology, Bhupat and Jyoti Mehta School of Biosciences, Indian Institute of Technology (IIT), Madras, India
Project Overview
The LS-category, introduced in 1934, has been extensively studied in various fields, including variational calculus, manifolds, and CW-complexes. Topological complexity, a homotopy invariant, has been introduced in robotics, with higher, symmetric, D-topological, relative, and parametrized topological complexity being the most recent. The project aims to explore new theories in robot motion planning, investigate their practical applications, and compute topological complexities of these spaces.
Indian Institute of Technology (IIT)
Associate Professor
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