In this paper we start the study of configurations of flags in closed orbits of real forms using mainly tools of GIT. As an application, using cross ratio coordinates for generic configurations, we identify boundary unipotent representations of the fundamental group of the figure eight knot complement into real forms of PGL(4,C).
Configurations of flags in orbits of real forms / Elisha Falbel; Marco Maculan; Giulia Sarfatti. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 207:(2020), pp. 95-156. [10.1007/s10711-019-00489-3]
Configurations of flags in orbits of real forms
Giulia Sarfatti
2020
Abstract
In this paper we start the study of configurations of flags in closed orbits of real forms using mainly tools of GIT. As an application, using cross ratio coordinates for generic configurations, we identify boundary unipotent representations of the fundamental group of the figure eight knot complement into real forms of PGL(4,C).
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