Relations in the Tautological Ring of the Universal Curve
Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
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.
Engineering and Technology
IdentifiersURN: urn:nbn:se:kth:diva-102806OAI: oai:DiVA.org:kth-102806DiVA: diva2:556691
Master of Science in Engineering -Engineering Physics