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Invariants of stable maps between closed orientable surfaces

Title: Invariants of stable maps between closed orientable surfaces
metadata.dc.creator: Mendes de Jesus Sánchez, Catarina.
Romero Sánchez, Pantaleón David.
Keywords: Surfaces.Superficies (Matemáticas)Invariantes.Curves on surfaces.Invariants.Curvas sobre superficies.
Publisher: MDPI
Citation: Mendes de Jesus S., C. & Romero, P. D. (2021). Invariants of stable maps between closed orientable surfaces. Mathematics, vol. 9, i. 3 (21 jan.), art. 215. DOI:
Abstract: In this paper, we will consider the problem of constructing stable maps between two closed orientable surfaces M and N with a given branch set of curves immersed on N. We will study, from a global point of view, the behavior of its families in different isotopies classes on the space of smooth maps. The main goal is to obtain different relationships between invariants. We will provide a new proof of Quine’s Theorem.
Description: Este artículo se encuentra disponible en la siguiente URL:
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ISSN: 2227-7390 (Electrónico)
Issue Date: 21-Jan-2021
Center : Universidad Cardenal Herrera-CEU
Appears in Collections:Dpto. Matemáticas, Física y Ciencias Tecnológicas

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