Semistable Graph Homology
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Pontificia Universidad Católica del Perú
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Abstract
En este trabajo mediante la descomposicion orbicelular de la compacticacion de Deligne-Mumford del espacio de moduli de supercies de Riemann (estudiada antes por el autor) construimos un complejo basado en grafos de cinta semiestables, lo cual constituye una extension de la homologa de grafos de Kontsevich.
Using the orbicell decomposition of the Deligne-Mumford compactification of the moduli space of Riemann surfaces studied before by the author, a chain complex based on semistable ribbon graphs is constructed which is an extension of the Konsevich’s graph homology.
Using the orbicell decomposition of the Deligne-Mumford compactification of the moduli space of Riemann surfaces studied before by the author, a chain complex based on semistable ribbon graphs is constructed which is an extension of the Konsevich’s graph homology.
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Ribbon Graphs, Graph Homology, Moduli Of Riemann Surfaces, Compactification And Cellular Decomposition Of Moduli Spaces, Grafos de Cinta, Homologa de Grafos, Moduli de Superficies de Riemann, Compacticaciones y Descomposiciones Celulares de Espacios de Moduli
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