Topological invariants of some chemical reaction networks

Abstract

Certain toric dynamical systems studied in physical chemistry have associated toric varieties which, when smooth, represent elements in the homotopy groups $Mξ_*B\T$ of a symplectic variant of the $A_{\infty }$ Baker-Richter spectrum $M\xi$. The noncommutative Hopf algebroid $(M{\xi }_{\ast },M{\xi }_{\ast }M\xi )$ has interesting connections to the group of formal diffeomorphism of the noncommutative line, conjecturally defining a noncommutative analog Helmholtz free energy for systems of complex symplectic (completely integrable) Hamiltonian toric manifolds

Perhaps more readable. See also http://pirsa.org/displayFlash.php?id=20050054