# Topological invariants of some chemical reaction networks

@article{Morava2019TopologicalIO, title={Topological invariants of some chemical reaction networks}, author={Jack Morava}, journal={arXiv: Algebraic Topology}, year={2019} }

This is a revision and extension of earlier joint work with N Kitchloo, tentatively attempting to apply ideas of Baker and Richter to the cobordism theory of (quasi-Hamiltonian symplectic) toric manifolds. Some possible applications to the statistical mechanics of chemical reaction networks and their associated toric varieties are proposed.
Comments are very welcome. An account of the motivation for this note is attached as an afterword.

## One Citation

### Renormalization groupoids in algebraic topology

- Mathematics
- 2020

Continuing work begin in arXiv:1910.12609, we interpret the Hurewicz homomorphism for Baker and Richter's noncommutative complex cobordism spectrum $M\xi$ in terms of characteristic numbers (indexed…

## References

SHOWING 1-10 OF 49 REFERENCES

### Quasisymmetric functions from a topological point of view

- Mathematics
- 2006

It is well-known that the homology of the classifying space of the unitary group is isomorphic to the ring of symmetric functions $\mathsf {Symm}$. We offer the cohomology of the space $\Omega \Sigma…

### Convex polytopes, Coxeter orbifolds and torus actions

- Mathematics
- 1991

0. Introduction. An n-dimensional convex polytope is simple if the number of codimension-one faces meeting at each vertex is n. In this paper we investigate certain group actions on manifolds, which…

### Formal Groups, Witt vectors and Free Probability

- Mathematics
- 2012

The set of non-commutative probability distributions with mean one can be endowed with the structure of a unital ring, which is isomorphic to the Grothendieck $\lambda$-ring. Voiculescu's…

### On formal groups and geometric quantization

- Mathematics
- 2019

In the theory of geometric quantization, the (cobordism classes of) complex projective spaces, regarded as symplectic manifolds, are to the (cobordism classes of) complex projective spaces, regarded…

### Noncommutative free cumulants

- Mathematics
- 2016

The functional equation defining the free cumulants in free probability is lifted successively to the noncommutative Fa\`a di Bruno algebra, and then to the group of a free operad over Schr\"oder…

### Sur la topologie des écoulements stationnaires des fluides parfaits

- Physics
- 1965

On considere les ecoulements stationnaires d’un fluide parfait, incompressible et non visqueux, dans un domaine borne D. On suppose que le vecteur vitesse n’est pas partout colineaire au vecteur…

### General mass action kinetics

- Biology
- 1972

The principal result of this work shows that there exists a simply identifiable class of kinetic expressions, including the familiar detailed balanced kinetics as a proper subclass, which ensure consistency with the extended thermodynamic conditions.

### The relation of cobordism to k-theories

- History
- 1966

• November 2nd, 2006: Talk 1 by Marc Siegmund: This should be an introduction to bordism, tell us the geometric constructions and mention the ring structure of Ω ∗ . You might take the books of…