Indices of vector fields and 1-forms
Wolfgang Ebeling, Sabir M. Gusein-Zade
TL;DR
This paper explores the concepts of indices for vector fields and 1-forms, extending these notions to singular varieties, varieties with finite group actions, and collections of such fields and forms.
Contribution
It introduces generalized indices for vector fields and 1-forms on complex varieties, including singular and symmetric cases, broadening their applicability.
Findings
Generalized indices for singular varieties
Indices for varieties with finite group actions
Extensions to collections of vector fields and 1-forms
Abstract
We discuss the notions of indices of vector fields and 1-forms and their generalizations to singular varieties and varieties with actions of finite groups, as well as indices of collections of vector fields and 1-forms.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Homotopy and Cohomology in Algebraic Topology