Topological invariants of some chemical reaction networks

Jack Morava

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arXiv · 1910.12609

Topological invariants of some chemical reaction networks

Jack Morava

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Abstract

Certain toric dynamical systems studied in physical chemistry have associated toric varieties which, when smooth, represent elements in the homotopy groups $M\xi_*B\T$ of a symplectic variant of the $A_\infty$ Baker-Richter spectrum $M\xi$. The noncommutative Hopf algebroid $(M\xi_*,M\xi_*M\xi)$ 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

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Jack Morava. 2019-10-28. Topological invariants of some chemical reaction networks. https://arxiv.org/abs/1910.12609

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