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Titlebook: Riemann, Topology, and Physics; Michael Monastyrsky Book 1999Latest edition Springer Science+Business Media New York 1999 History of Mathe

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Knots, Links, and Physicsrent invariant, discovered by the American mathematician J.W. Alexander (1888–1971). The Alexander polynomial Al. is symmetric under the change of variable. and does not make it possible to distinguish two knots that are mirror images of each other.
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The Connectivity of a Manifold and Quantization of Magnetic Fluxer pairing of electrons. This result, discovered by the American physicist Leon Cooper, is the basis of the contemporary microscopic theory of superconductivity, established by J. Bardeen, L. Cooper, and J. Schrieffer in 1957 (the BCS theory, for which the three received the 1972 Nobel Prize).
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Topological Structuresther by continuous deformations without cutting and pasting are called . For example, the totality of sides of any polygon is homeomorphic to a circle, but a circle is not homeomorphic to a straightline segment; a sphere is homeomorphic to a closed cylinder but not to a torus, and so on.
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Book 1999Latest editiont the article on Riemann appeared in (Nature) in 1976, this Russian vaudeville joke is more than - propriate. Only the author‘s youth can account for the insane enterprise of presenting the scientific achievements and the biography of Riemann in 60 pages and the c- nection between physics and topolo
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