The purpose of this article is to present a survey on some profound constructs which connect a broad range of subjects including topological classes and their harmonic representatives, calculus of variations and partial differential equations, and soliton solutions, especially the Yang-Mills instantons, in quantum field theory. Throughout, the analytic technicalities involved will be kept to the minimum but the beautiful interaction of different areas of mathematics and physics will be emphasized.
|Original language||English (US)|
|Title of host publication||Perspectives In Mathematical Sciences|
|Publisher||World Scientific Publishing Co.|
|Number of pages||46|
|State||Published - Jan 18 2010|
ASJC Scopus subject areas
- Physics and Astronomy(all)