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Relations in the Tautological Ring of the Universal Curve
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

After some background theory we provide a brief summary of what is known about the tautological ring of the moduli space curves. We then formulate a few conjectures about the structure of the tautological ring of the universal curve. These conjectures are analogous to the so-called "Faber conjectures". We verify these conjectures for genus 2 <  g < 9. We also study some matrices associated to the conjectures and find a realtionship between these matrices and the corresponding matrices on the moduli space of curves.

Place, publisher, year, edition, pages
2012. , 56 p.
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-102806OAI: diva2:556691
Educational program
Master of Science in Engineering -Engineering Physics
Available from: 2012-09-27 Created: 2012-09-26 Last updated: 2012-09-27Bibliographically approved

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