Moduli Spaces and Grassmannian
Jia-Ming Liou, Albert Schwarz
TL;DR
This paper computes the cohomology homomorphism induced by the Krichever map from moduli spaces of curves to an infinite-dimensional Grassmannian, aiding in the calculation of homology classes of certain cycles.
Contribution
It provides an explicit calculation of the cohomology homomorphism for the Krichever map, linking moduli spaces of curves with infinite-dimensional Grassmannians.
Findings
Homomorphism of cohomology calculated explicitly
Application to homology classes of cycles on moduli spaces
Facilitates computations involving Weierstrass points
Abstract
We calculate the homomorphism of the cohomology induced by the Krichever map of moduli spaces of curves into infinite-dimensional Grassmannian. This calculation can be used to compute the homology classes of cycles on moduli spaces of curves that are defined in terms of Weierstrass points.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry