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Lusternik-Schnirelmann Category and several Topological Complexities, and their applications in robotics

Implementing Organization

Principal Investigator
Dr. Soumen Sarkar
Associate Professor, Indian Institute of Technology (IIT), Madras

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.
Funding Organization
Quick Information
Area of Research
Mathematical Sciences
Focus Area
Mathematics
Start Date
2024
Status
ongoing
Contact
soumen[at]iitm[dot]ac[dot]in
Output
No. of Research Paper
00
Technologies (If Any)
00
No. of PhD Produced
00
Publications
00
No. of Patents
Filed : 00
Grant : 00
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