Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/23142
Title: Applications of algebraic topology to configuration spaces
Authors: SUN QIANG
Keywords: confiugration spaces
Issue Date: 31-Mar-2007
Citation: SUN QIANG (2007-03-31). Applications of algebraic topology to configuration spaces. ScholarBank@NUS Repository.
Abstract: In this thesis, our focus is on the configuration space F(M, k) of a manifold Mto be defined below. We study some basic properties of the configuration spacesuch as the homotopy groups, homology and cohomology structure. We describea certain nontrivial presentation of the fundamental group of F(R2, k). We alsodiscuss the cohomology structure of the configuration space F(M, k) where M is aRiemann surface without boundary and projective spaces FP2 (Here F = R,C).
URI: http://scholarbank.nus.edu.sg/handle/10635/23142
Appears in Collections:Master's Theses (Open)

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