Titlebook: ;

esculent

轎車

ADORN

Riemannian and Pseudo Riemannian GeometryAs explained in the previous chapter we should distinguish terms like topological spaces, differential topology, differential geometry, algebraic topology and algebraic geometry.

影響深遠

邪惡的你

Configuration Space Topology and Topological Conservation LawsWith formal notations on topological spaces, homotopy, homology and cohomology introduced in the first three chapters, we have taken up their applications in Chaps. .–..

Audiometry

Spin-Statistics Theorem, Low Dimensional Topology and GeometryWe saw in the previous chapter the role of topology in multiparticle systems of elementary particles and providing explanation for possible statistics.

防止

Braid Group, Knots, Three ManifoldsWe introduced braids and their group structure in Chap. .. We briefly recollect here so that we can study how knots in three-dimensional space . arise from these braids.

熒光

PRE

3D Gravity and BTZ BlackholeThree-dimensional gravity is an excellent model for understanding several features of topological and quantum aspects of gravity. This is because in three-dimensional gravity we do not have propagating (dynamical) degrees of freedom. But topological aspects provide interesting features. There is one more reason to understand this model.

remission