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
|
Indian Institute of Technology (IIT), Madras
About
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.
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Indian Institute of Technology (IIT)
Associate Professor
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