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Grid Homology for Knots and Links
Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams.
Modern Geometry
This book contains a collection of survey articles of exciting new developments in geometry, written in tribute to Simon Donaldson to celebrate his 60th birthday. Reflecting the wide range of Donaldson's interests and influence, the papers range from algebraic geometry and topology through symplectic geometry and geometric analysis to mathematical physics. Their expository nature means the book acts as an invitation to the various topics described, while also giving a sense of the links between these different areas and the unity of modern geometry.
Bordered Heegaard Floer Homology
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Representing Russia's Orient
Building on long-forgotten archives and detailed case studies, Representing Russia's Orient reveals how complex representations of oriental subjects in nineteenth-century Russian art music, which often merged elements of East and West, contributed to the formation of Russia's national identity.
Captured Soviet Generals
"In this work, Maslov relates the fate of those generals who fell into German captivity. After relating the grisly circumstances of their ordeal in German prisoner-of-war camps, Maslov then tells the sordid tale of how an ungrateful Soviet state condemned for treason against their homeland many of those who had served it loyally both in combat and in German prisoner-of-war camps. By exploiting unprecedented archival materials, Maslov demonstrates how Stalin and the Soviet security organs condemned and shot many of the returnee-generals, most on trumped-up charges, in part as scapegoats for the real crimes committed by Stalin and the Soviet military leadership during the tragic initial period of the war."--Publisher's description.
Geometry & Topology
Fully refereed international journal dealing with all aspects of geometry and topology and their applications.
