Topological invariants of some chemical reaction networks

Jack Morava

Topological invariants of some chemical reaction networks

Algebraic Topology 2020-06-11 v5

Authors: Jack Morava

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

Keywords

toric dynamical systems topological invariants homotopy groups symplectic geometry noncommutative hopf algebroid baker-richter spectrum helmholtz free energy hamiltonian toric manifolds

Cite

@article{arxiv.1910.12609,
  title  = {Topological invariants of some chemical reaction networks},
  author = {Jack Morava},
  journal= {arXiv preprint arXiv:1910.12609},
  year   = {2020}
}

Comments

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

Topological invariants of some chemical reaction networks

Abstract

Keywords

Cite

Comments

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