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.