000			01940nam a22002537a 4500
003			CUTN
005			20231219153015.0
008			231219b |||||||| |||| 00| 0 eng d
020			_a9789380501413
041			_aEnglish
082			_223 _a514.72 _bNAS
100			_aNash, Charles.
240			_aDifferential Topology And Quantum Field Theory
245			_aDifferential Topology And Quantum Field Theory / _cCharles Nash.
260			_aNew Delhi : _bElsevier, _c2010.
300			_axi, 386 p. : _bill. ; _c24 cm.
505			_tPreface Chapter I: A topological Preliminary Chapter II: Elliptic Operators Chapter III: Cohomology of Sheaves and Bundles Chapter IV: Index Theory for Elliptic Operators Chapter V: Some Algebraic Geometry Chapter VI: Infinite Dimensional Groups Chapter VII: Morse Theory Chapter VIII: Instantons and Monopoles Chapter IX: The Elliptic Geometry of Strings Chapter X: Anomalies Chapter XI: Conformal Quantum Field Theories Chapter XII: Topological Field Theories References Index
520			_aThe remarkable developments in differentials topology and how these recent adventures have been applied as a primary research tool on quantum field theory are presented in a style reflecting the genuinely two-sided interaction between mathematical physics and applied mathematics. The author, following on from the previous work (Nash/Sen: Differential Topology for Physicist, Academic Press, 1983), covers elliptic differential and pseudo-differential operators, Atiyah-Singer Index Theory, Morse Theory, Instantons and monopoles, topological quantum field theory, string theory and knot theory. The explanatory approach serves to illuminate and clarify these theories for graduate students and research workers entering the field for the first tiem.
650			_aConformal Quantum
650			_amonopoles
650			_aAlgebraic Geometry
650			_aElliptic Operators
942			_2ddc _cTB
999			_c41055 _d41055