This book offers a review of the vibrant areas of geometric representation theory and gauge theory, which are characterized by a merging of traditional techniqu

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various

Derived algebraic geometry is a far-reaching generalization of algebraic geometry. It has found numerous applications in various parts of mathematics, most prom

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This book gives a treatment of exterior differential systems. It will in clude both the general theory and various applications. An exterior differential system