A Hamiltonian $\coprod _{n}BO(n)$-action, stratified Morse theory and the $J$-homomorphism

Xin Jin

We use sheaves of spectra to quantize a Hamiltonian $\coprod _{n}BO(n)$-action on $\underset{N}{\underrightarrow{\lim }}{T}^{\ast }{\mathbf{R}}^N$ that naturally arises from Bott periodicity. We employ…