nLab Mark Shimozono

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Selected writings

Proving the Peterson isomorphism relating the quantum cohomology of flag varieties with a Pontryagin ring:

• Thomas Lam, Mark Shimozono, Quantum cohomology of $G/P$ and homology of affine Grassmannian, Acta Mathematica 204 (2010) 49–90 [arXiv:0705.1386, doi:10.1007/s11511-010-0045-8]

The variant for Pontryagin products not in ordinary homology but in topological K-homology:

• Thomas Lam, Changzheng Li, Leonardo C. Mihalcea, Mark Shimozono, A conjectural Peterson isomorphism in K-theory, Journal of Algebra 513 (2018) 326-343 [doi:10.1016/j.jalgebra.2018.07.029, arXiv:1705.03435]