Using Floer theory on Hamiltonian bundles, the paper constructs natural homomorphisms from π_m(BG) to categorified K-theory groups K^Cat_m(R) and gives a geometric proof that K^Cat_2(Z) is infinitely generated.
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Hamiltonian elements in algebraic K-theory
Using Floer theory on Hamiltonian bundles, the paper constructs natural homomorphisms from π_m(BG) to categorified K-theory groups K^Cat_m(R) and gives a geometric proof that K^Cat_2(Z) is infinitely generated.