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Cohomology of the moduli space of curves of genus three with level two structure
Stockholm University, Faculty of Science, Department of Mathematics.
2014 (English)Licentiate thesis, monograph (Other academic)
Abstract [en]

In this thesis we investigate the moduli space M3[2] of curves of genus 3 equipped with a symplectic level 2 structure. In particular, we are interested in the cohomology of this space. We obtain cohomological information by decomposing M3[2] into a disjoint union of two natural subspaces, Q[2] and H3[2], and then making S7- resp. S8-equivariantpoint counts of each of these spaces separately.

Abstract [sv]

Målet med denna uppsats är att undersöka modulirummet M3[2] av kurvor av genus 3 med symplektisk nivå 2 struktur. Mer specifikt vill vi hitta informationom kohomologin av detta rum. För att uppnå detta delar vi först upp M[2] i en disjunkt union av två naturliga delrum, Q[2] och H3[2], och räknar därefter punkterna av dessa rum S7- respektive S8-ekvivariant.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University , 2014. , 138 p.
Series
Research Reports in Mathematics, ISSN 1401-5617 ; 4
Keyword [en]
Algebraic geometry, Moduli space, Cohomology, Symplectic structure, Point count
National Category
Geometry Algebra and Logic
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-103062ISBN: 978-91-7447-923-2OAI: oai:DiVA.org:su-103062DiVA: diva2:715000
Presentation
2014-05-22, 306, Hus 6, Kräftriket, Stockholm, 10:00 (English)
Opponent
Supervisors
Available from: 2016-10-21 Created: 2014-04-30 Last updated: 2016-10-21Bibliographically approved

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Bergvall, Olof
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