A Report About a Variety of Geometrically Moment Map: Exploring the Applications of Geometrically Moment Map in Infinite Dimensional Symmetry Groups

Abstract

More than twenty years back, Atiyah watched that the bendcould be seen as a minute guide for the activity of the measure gathering onthe space of connections. Since then, this thought of a minute guide connectedto boundless dimensional symmetry gatherings underlying various-geometricissues has turned out to be extremely productive. It yields an unifiedperspective on numerous distinctive inquiries, and carries with it a bundle ofstandard hypothesis which can either be connected straight or in any event, inthe deeper perspectives, prescribes what one should attempt to demonstrate. Inthis paper we will first overview briskly a percentage of the overall maderequisitions of these thoughts in the written works.