Kuo-Tsai Chen (1923-1987) is best known to the mathematics
community for his work on iterated integrals and power series
connections in conjunction with his research on the cohomology of
loop spaces. His work is intimately related to the theory of
minimal models as developed by Dennis Sullivan, whose own work was
in part inspired by the research of Chen. An outstanding and
original mathematician, Chen's work falls naturally into three
periods: his early work on group theory and links in the three
sphere; his subsequent work on formal differential equations, which
gradually developed into his most powerful and important work; and
his work on iterated integrals and homotopy theory, which occupied
him for the last twenty years of his life. The goal of Chen's
iterated integrals program, which is a de Rham theory for path
spaces, was to study the interaction of topology and analysis
through path integration. The present volume is a comprehensive
collection of Chen's mathematical publications preceded by an
article, "The Life and Work of Kuo-Tsai Chen," placing his work and
research interests into their proper context and demonstrating the
power and scope of his influence.
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