Homology of covering spaces of symmetric products of a Riemann surface

Pitawala, Asitha (2022) Homology of covering spaces of symmetric products of a Riemann surface. Masters thesis, Memorial University of Newfoundland.

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Abstract

Homology and cohomology are considered valuable algebraic tools for studying topological spaces. Homology groups of the symmetric product of a Riemann surface were determined by I.G.Macdonald [9] in 1962. The main object of this project is finding the cohomology and homology groups of certain covering spaces of these spaces.

Item Type: Thesis (Masters)
URI: http://research.library.mun.ca/id/eprint/15911
Item ID: 15911
Additional Information: Includes bibliographical references on page 63
Keywords: homology, covering spaces, symmetric products, Riemann surfaces
Department(s): Science, Faculty of > Mathematics and Statistics
Date: November 2022
Date Type: Submission
Digital Object Identifier (DOI): https://doi.org/10.48336/3956-TQ82
Library of Congress Subject Heading: Riemann surfaces; Topological spaces; Algebra, Homological

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