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Moduli Spaces and Grassmannian

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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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Correspondence to A. Schwarz.

Additional information

The work was partially supported by NSF grant DMS-0805989.

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Liou, JM.(., Schwarz, A. Moduli Spaces and Grassmannian. Lett Math Phys 103, 585–603 (2013).

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Mathematics Subject Classification (2010)

  • 14H10
  • 14M15
  • 3E130


  • Grassmannian
  • Krichever maps
  • lambda classes
  • moduli spaces
  • Schubert classes