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Will to Freedom is an eyewitness account of the social and political upheaval that shook Eastern Europe from the mid-1930s to the mid-1960s. As an underground resistance fighter, political prisoner, fugitive, and Communist Party official, Egon Balas charts his journey from idealistic young Communist to disenchanted dissident. Attracted by its anti-Nazi stance, Balas joined the Hungarian Communist Party in 1942, after Hungary had entered the war on Hitler’s side. He helped organize work stoppages and distributed antiwar leaflets. In his memoir, he offers a compelling account first of his eventual imprisonment and ordeal under torture and then of his escape and life in hiding. Later, Balas rose to high positions in postwar Romania. Arrested again, this time by the Communist authorities, he spent two years in solitary confinement. Unbroken, he was released after Stalin's death but was never forgiven for his refusal co cooperate in the staging of a show trial. Disenchanted with the regime, Balas started a new life as a self-educated applied mathematician and, after several unsuccessful attempts, was finally able to leave Romania as a Jewish emigrant in the mid-sixties.
The new student in differential and low-dimensional topology is faced with a bewildering array of tools and loosely connected theories. This short book presents the essential parts of each, enabling the reader to become 'literate' in the field and begin research as quickly as possible. The only prerequisite assumed is an undergraduate algebraic topology course. The first half of the text reviews basic notions of differential topology and culminates with the classification of exotic seven-spheres. It then dives into dimension three and knot theory. There then follows an introduction to Heegaard Floer homology, a powerful collection of modern invariants of three- and four-manifolds, and of knots, that has not before appeared in an introductory textbook. The book concludes with a glimpse of four-manifold theory. Students will find it an exhilarating and authoritative guide to a broad swathe of the most important topics in modern topology.
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Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.
This volume contains the proceedings of a conference held from June 4-6, 2010, at Oklahoma State University, in honor of William (Bus) Jaco's 70th birthday. His contributions to research in low dimensional geometry and topology and to the American mathematical community, especially through his work for the American Mathematical Society, were recognized during the conference. The focus of the conference was on triangulations and geometric structures for three-dimensional manifolds. The papers in this volume present significant new results on these topics, as well as in geometric group theory.