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KTp’s

K-theoretic Thom polynomials

There are three different versions of the concept “K-theoretic fundamental class”:

  • The class of the structure sheaf.
  • The class of the structure sheaf of a resolution, pushed forward.
  • The Motivic Chern class mC_y, with y=0 substitution.

These three concepts only coincide if the variety has mild singularities.

Correspondingly, there are three different concepts for “K-theoretic Thom polynomial”.

Below we list a few, for the second concept: The class of the structure sheaf of a resolution, pushed forward.

l=0 contact singularities (under construction)

l=1 contact singularities (under construction)