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TOPOLOGICAL CLASSIFICATION OF GENERIC REAL MEROMORPHIC FUNCTIONS FROM COMPACT SURFACES
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 32018 (English)In: Annales Academiae Scientiarum Fennicae Mathematica, ISSN 1239-629X, E-ISSN 1798-2383, Vol. 43, no 1, p. 349-363Article in journal (Refereed) Published
Abstract [en]

In this article, to each generic real meromorphic function (i.e., having only simple branch points in the appropriate sense) we associate a certain combinatorial gadget which we call the park of a function. We show that the park determines the topological type of the generic real meromorphic function and the set of parks produce a stratification of the space of generic real meromorphic functions. For any of the above topological types, we introduce and calculate the corresponding Hurwitz number. Finally we relate the topological types of generic real meromorphic functions with the monodromy of orbifold coverings.

Place, publisher, year, edition, pages
2018. Vol. 43, no 1, p. 349-363
Keywords [en]
Real meromorphic functions, gardens and parks, H urwitz numbers
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-156020DOI: 10.5186/aasfm.2018.4319ISI: 000429434500019OAI: oai:DiVA.org:su-156020DiVA, id: diva2:1203807
Available from: 2018-05-04 Created: 2018-05-04 Last updated: 2018-05-04Bibliographically approved

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