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#### Hodge Theory (MN-49)

Princeton University Press 2014; US$ 90.00This book provides a comprehensive and up-to-date introduction to Hodge theory?one of the central and most vibrant areas of contemporary mathematics?from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular... more...

#### Global Surgery Formula for the Casson-Walker Invariant. (AM-140)

Princeton University Press 2014; US$ 65.00This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold can be obtained by surgery on a framed link in S 3 . In Global Surgery Formula for the Casson-Walker Invariant, a function F of framed links in S 3 is described, and it is proven that F consistently defines an invariant, lamda (... more...

#### The Seiberg-Witten Equations and Applications to the Topology of Smooth Four-Manifolds. (MN-44)

Princeton University Press 2014; US$ 55.00The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of those manifolds. The invariants are gauge-theoretic in nature and are close cousins of the much-studied SU(2)-invariants defined over fifteen years ago by Donaldson. On a practical level, the new invariants have proved to be more powerful... more...

#### Renormalization and 3-Manifolds Which Fiber over the Circle (AM-142)

Princeton University Press 2014; US$ 75.00Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work of Sullivan and Thurston, this book gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. Both subjects are studied via geometric limits... more...

#### Surveys on Surgery Theory

Princeton University Press 2014; US$ 99.95Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. There have been some extraordinary accomplishments in that time, which have led to enormously varied interactions with algebra, analysis, and geometry. Workers in many of these areas have often lamented the lack of a single source that surveys surgery... more...

#### The Real Fatou Conjecture. (AM-144)

Princeton University Press 2014; US$ 57.50In 1920, Pierre Fatou expressed the conjecture that--except for special cases--all critical points of a rational map of the Riemann sphere tend to periodic orbits under iteration. This conjecture remains the main open problem in the dynamics of iterated maps. For the logistic family x- ax(1-x), it can be interpreted to mean that for a dense set of... more...

#### Surveys on Surgery Theory

Princeton University Press 2014; US$ 99.95Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth birthday (on December 14, 1996) of C.T.C. Wall, a leading member of the subject's founding generation, led the editors of this volume to reflect on the extraordinary accomplishments of surgery theory as well as its current enormously varied... more...

#### Orbifolds and Stringy Topology

Cambridge University Press 2007; US$ 77.00Introduces the theory of orbifolds from a modern perspective, providing a detailed description of the Chen-Ruan cohomology. more...

#### Complex, Contact and Symmetric Manifolds

Springer 2007; US$ 209.00Contains research and survey articles, describing developments and research trends in differential geometry and topology that have been collected and dedicated in honor of Lieven Vanhecke, as a tribute to his many contributions to these fields. more...