Topology and Geometry for PhysicistsElsevier, 04.01.1988 - 311 Seiten Applications from condensed matter physics, statistical mechanics and elementary particle theory appear in the book. An obvious omission here is general relativity--we apologize for this. We originally intended to discuss general relativity. However, both the need to keep the size of the book within the reasonable limits and the fact that accounts of the topology and geometry of relativity are already available, for example, in The Large Scale Structure of Space-Time by S. Hawking and G. Ellis, made us reluctantly decide to omit this topic. |
Inhalt
| 1 | |
| 25 | |
| 51 | |
| 79 | |
| 109 | |
| 120 | |
CHAPTER 7 Fibre Bundles and Further Differential Geometry | 140 |
CHAPTER 8 Morse Theory | 227 |
CHAPTER 9 Defects Textures and Homotopy Theory | 244 |
Instantons and Monopoles | 256 |
Further Reading | 305 |
Subject Index | 306 |
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
2-simplexes abelian group algebra anti-self-dual base space boundary calculation called Chapter characteristic classes Chern classes compact connection consider continuous map coordinates corresponding covariant CP³ critical point curvature curve defined definition denote differentiable manifold dimension dimensional element equation equivalence classes Euler class example fibre bundle fibre F Figure finite fundamental group gauge transformation geometry given Gl(n Gr(n group G hence holomorphic homeomorphic homology groups homotopy class identity instantons integral isomorphic line defect loop matrix metric Möbius strip n-loops non-zero obtain open sets orientable p-form parallel transport Pontrjagin principal bundle proof quaternionic result Riemannian self-dual simplexes simply subgroup T₁ tensor theorem theory topological invariant topological space transition functions triangulation trivial twistor vector bundle vector field vector space X₁ zero μν πη πι(Χ дх