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Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

Now back in print, this highly regarded book has been updated to reflect recent advances in
the theory of semistable coherent sheaves and their moduli spaces, which include moduli …

This book offers an easy and compact access to the theory of TeichmA1/4ller spaces,
starting from the most elementary aspects to the most recent developments, eg the role this …

The goal of this book is to give a comprehensive exposition of the relations among the
following three topics: tensor categories (such as a category of representations of a quantum …

The goal of this paper is to formulate and to begin an exploration of the enumerative
geometry of the set of all curves of arbitrary genus g. By this we mean setting up a Chow ring …

The central objects in the book are Lagrangian submanifolds and their invariants, such as
Floer homology and its multiplicative structures, which together constitute the Fukaya …

Operads are mathematical devices that describe algebraic structures of many varieties and
in various categories. Operads are particularly important in categories with a good notion of …

Aims Theaimofthisbookistoprovideaguidetoarich…-ject: algebraic curves, and how they vary
in families. The revolution that the? eld of algebraic geometry has undergone with the introd …

The purpose of this paper is to prove that the moduli space. A, of curves of genus g over C is
of general type if g is odd and g3 25. Moreover, the Kodaira dimension is at least 0 if g= 23. It …