By Shigeru Mukai,W. M. Oxbury
Read or Download An Introduction to Invariants and Moduli (Cambridge Studies in Advanced Mathematics) PDF
Best geometry & topology books
Metric and Differential Geometry grew out of a equally named convention held at Chern Institute of arithmetic, Tianjin and Capital basic college, Beijing. a number of the contributions to this quantity disguise a extensive variety of issues in metric and differential geometry, together with metric areas, Ricci movement, Einstein manifolds, Kähler geometry, index conception, hypoelliptic Laplacian and analytic torsion.
Offering a scientific advent to differential characters as brought by means of Cheeger and Simons, this article describes very important thoughts comparable to fiber integration, greater dimensional holonomy, transgression, and the product constitution in a geometrical demeanour. Differential characters shape a version of what's these days known as differential cohomology, that's the mathematical constitution at the back of the better gauge theories in physics.
Summary typical polytopes stand on the finish of greater than millennia of geometrical examine, which started with standard polygons and polyhedra. they're hugely symmetric combinatorial constructions with distinct geometric, algebraic or topological homes; in lots of methods extra attention-grabbing than conventional general polytopes and tessellations.
This publication describes paintings, principally that of the writer, at the characterization of closed 4-manifolds by way of known invariants comparable to Euler attribute, primary workforce, and Stiefel–Whitney periods. utilizing suggestions from homological team concept, the speculation of 3-manifolds and topological surgical procedure, infrasolvmanifolds are characterised as much as homeomorphism, and floor bundles are characterised as much as basic homotopy equivalence.
Additional info for An Introduction to Invariants and Moduli (Cambridge Studies in Advanced Mathematics)
An Introduction to Invariants and Moduli (Cambridge Studies in Advanced Mathematics) by Shigeru Mukai,W. M. Oxbury