Abstract
The main goal of these notes is to describe the combinatorial structure of the Stokes sets for polynomials in one variable, a certain bifurcation diagram in the space of monic polynomials of given degree (the precise definition is given in section 5). As it turns out, their structure is intimately connected to other bifurcation diagrams (of quadratic differentials, or of Smale functions), and to various combinatorial structures, most prominent among them being Stasheff polyhedra. These notes are expository with proofs at best sketched. A detailed exposition will appear elsewhere.
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Baryshnikov, Y. (2001). On Stokes Sets. In: Siersma, D., Wall, C.T.C., Zakalyukin, V. (eds) New Developments in Singularity Theory. NATO Science Series, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0834-1_3
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DOI: https://doi.org/10.1007/978-94-010-0834-1_3
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