Configuration spaces in collision free simultaneous Motion Planning Problem

• Grant number: 18/23678-6
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: March 01, 2019
• End date: February 29, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Denise de Mattos
• Grantee: Cesar Augusto Ipanaque Zapata
• Supervisor: Jesus Gonzalez Espino Barros
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Instituto Politécnico Nacional (IPN), Mexico
• Associated to the scholarship: 16/18714-8 - Configuration spaces in collision free simultaneous motion planning problem, BP.DR

Abstract

This research project consists of the followingimportant problems in the area of Geometry and Topology: Compute the topological complexity of ordered and unordered configuration spaces. In particular, compute the topological complexity of braid groups. The topological complexity of braid groups comes at a timely moment after recent and important advances in the description of the topological complexity of general groups.

Scientific publications

(4)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

IPANAQUE ZAPATA, C. E. S. A. R. A.; GONZALEZ, JESUS. SEQUENTIAL COLLISION-FREE OPTIMAL MOTION PLANNING ALGORITHMS IN PUNCTURED EUCLIDEAN SPACES. BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, v. 102, n. 3, p. 506-516, DEC 2020. (18/23678-6)

IPANAQUE ZAPATA, CESAR A.; GONZALEZ, JESUS. Multitasking collision-free optimal motion planning algorithms in Euclidean spaces. DISCRETE MATHEMATICS ALGORITHMS AND APPLICATIONS, v. 12, n. 3, JUN 2020. (18/23678-6)

ZAPATA, CESAR A. IPANAQUE; GONZALEZ, JESUS. SECTIONAL CATEGORY AND THE FIXED POINT PROPERTY. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 56, n. 2, p. 559-578, DEC 2020. (18/23678-6)

SOUZA, T. O.; ZAPATA, C. A. I.. On the Topology of the Milnor Fibration. BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY, v. 54, n. 1, p. 18-pg., 2023-03-01. (16/18714-8, 18/23678-6, 22/03270-8)