Signed counts of real simple rational functions

DOI10.1007/s10801-019-00906-6zbMath1475.14102arXiv1712.05639OpenAlexW3102088978WikidataQ127102322 ScholiaQ127102322MaRDI QIDQ2021404

Boulos El Hilany, Johannes Rau

Publication date: 27 April 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.05639

zbMATH Keywords

dessins d'enfantsreal enumerative problemsreal Hurwitz numbersreal simple rational functionssigned counts

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Real algebraic sets (14P05) Enumeration in graph theory (05C30) Enumerative problems (combinatorial problems) in algebraic geometry (14N10) Coverings of curves, fundamental group (14H30) Dessins d'enfants theory (14H57)

Related Items (3)

Asymptotics for real monotone double Hurwitz numbers ⋮ On the lower bounds for real double Hurwitz numbers ⋮ Lower bounds and asymptotics of real double Hurwitz numbers

Cites Work

• Tropical real Hurwitz numbers
• Noncommutative two-dimensional topological field theories and Hurwitz numbers for real algebraic curves
• On the space of real polynomials without multiple critical values
• Real orientations, real Gromov-Witten theory, and real enumerative geometry
• Hurwitz numbers for real polynomials
• Lower bounds and asymptotics of real double Hurwitz numbers
• Invariants of real symplectic 4-manifolds and lower bounds in real enumerative geometry
• A Survey of Alternating Permutations
• TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS
• Logarithmic equivalence of Welschinger and Gromov-Witten invariants
• The Combinatorics of Real Double Hurwitz Numbers with Real Positive Branch Points

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