# Quantum characteristic classes, moment correspondences and the Hamiltonian groups of coadjoint orbits

@inproceedings{Chow2021QuantumCC, title={Quantum characteristic classes, moment correspondences and the Hamiltonian groups of coadjoint orbits}, author={Chi Hong Chow}, year={2021} }

For any coadjoint orbit G/L, we determine all useful terms of the associated SavelyevSeidel morphism defined on H−∗(ΩG). Immediate consequences are: (1) the dimension of the kernel of the natural map π∗(G)⊗Q → π∗(Ham(G/L))⊗Q is at most the semi-simple rank of L, and (2) the Bott-Samelson cycles in ΩG which correspond to Peterson elements are solutions to the min-max problem for Hofer’s max-length functional on ΩHam(G/L). The proof is based on Bae-Chow-Leung’s recent computation of Ma’u-Wehrheim… Expand

#### One Citation

Peterson-Lam-Shimozono's theorem is an affine analogue of quantum Chevalley formula

- Mathematics
- 2021

We give a new proof of an unpublished theorem of Peterson, proved previously by LamShimozono, which identifies explicitly the structure constants for the multiplications of Schubert classes in the T… Expand

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