The subject of these notes is the character variety of representations of a surface group in a Lie group. We emphasize the various points of view (combinatorial, differential, algebraic) and are interested in the description of its smooth points, symplectic structure, volume and…
"This book is a (post)graduate textbook on Lie groups and Lie algebras. Its aim is to give a broad introduction to the field with an emphasis on using differential-geometrical methods, in the spirit of Lie himself. The structure of compact Lie groups is analyzed in terms of the …
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. C…
"Esta traducción moderna de la "Theorie der Transformationsgruppen Band I" de Sophus Lie y Friedrich Engel permitirá a los lectores descubrir la sorprendente claridad conceptual y el pensamiento organizativo notablemente sistemático del texto original alemán. El volumen I presen…
