On moduli spaces of Riemann surfacesnew generators in their unstable homology and the homotopy type of their harmonic compactification
On moduli spaces of Riemann surfaces
new generators in their unstable homology and the homotopy type of their harmonic compactification
View/Type of Scholarly Publication
DissertationDate of Exam
05.06.2018Date of Publication
10.07.2018Advisor
Bödigheimer, Carl-FriedrichCo-Referee
Wahl, NathalieMetadata
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Abstract
By M_g(m,n) we denote the moduli space of conformal structures on an oriented compact cobordism S_g(m,n) of genus g greater or equal 0 and with m+n greater or equal 0 enumerated, parametrized boundary components of which n are incoming and m are outgoing. The study of these spaces reflects a strong relationship between geometry, topology and mathematical physics. In this thesis, we study (1) the homotopy type of Bödigheimer's harmonic compactification of these moduli spaces (and of variations of these) and (2) the unstable homology of these moduli spaces (and of variations of these).
Subjects
Modulräume, Stringtopologie, Sullivandiagramme, Harmonische Kompaktifizierung, Moduli spaces, string topology, Sullivan diagrams, Harmonic compactification
Classification (DDC)
510 MathematikBoes, Felix Jonathan: On moduli spaces of Riemann surfaces : new generators in their unstable homology and the homotopy type of their harmonic compactification. - Bonn, 2018. - Dissertation, Rheinische Friedrich-Wilhelms-Universität Bonn.
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-51157
Online-Ausgabe in bonndoc: https://nbn-resolving.org/urn:nbn:de:hbz:5n-51157
@phdthesis{handle:20.500.11811/7586,
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-51157,
author = {{Felix Jonathan Boes}},
title = {On moduli spaces of Riemann surfaces : new generators in their unstable homology and the homotopy type of their harmonic compactification},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2018,
month = jul,
note = {By M_g(m,n) we denote the moduli space of conformal structures on an oriented compact cobordism S_g(m,n) of genus g greater or equal 0 and with m+n greater or equal 0 enumerated, parametrized boundary components of which n are incoming and m are outgoing. The study of these spaces reflects a strong relationship between geometry, topology and mathematical physics. In this thesis, we study (1) the homotopy type of Bödigheimer's harmonic compactification of these moduli spaces (and of variations of these) and (2) the unstable homology of these moduli spaces (and of variations of these).},
url = {https://hdl.handle.net/20.500.11811/7586}
}
urn: https://nbn-resolving.org/urn:nbn:de:hbz:5n-51157,
author = {{Felix Jonathan Boes}},
title = {On moduli spaces of Riemann surfaces : new generators in their unstable homology and the homotopy type of their harmonic compactification},
school = {Rheinische Friedrich-Wilhelms-Universität Bonn},
year = 2018,
month = jul,
note = {By M_g(m,n) we denote the moduli space of conformal structures on an oriented compact cobordism S_g(m,n) of genus g greater or equal 0 and with m+n greater or equal 0 enumerated, parametrized boundary components of which n are incoming and m are outgoing. The study of these spaces reflects a strong relationship between geometry, topology and mathematical physics. In this thesis, we study (1) the homotopy type of Bödigheimer's harmonic compactification of these moduli spaces (and of variations of these) and (2) the unstable homology of these moduli spaces (and of variations of these).},
url = {https://hdl.handle.net/20.500.11811/7586}
}
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