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 M*B of a symplectic variant of the A∞ Baker-Richter spectrum M. The noncommutative Hopf algebroid (M*,M*M) 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
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