Topological Chern-Weil Theory.
Phillips, Anthony V.
Topological Chern-Weil Theory. - 1st ed. - 1 online resource (90 pages) - Memoirs of the American Mathematical Society ; v.105 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- 1 Combinatorial preliminaries -- 2 The universal side of the problem: the topological Lie algebra, tensor algebra and invariant polynomials -- 3 Parallel transport functions and principal bundles -- 4 The complex C[sub(*)], the twisting cochain of a parallel transportfunction, and the algebraic classifying map S[sub(*)]:C[sub(*)] → ε[sub(*)] -- 5 Cochains on C[sub(*)] with values in Tg[sub(*)] -- 6 The main theorem -- Appendix. The cobar construction, holonomy, and parallel transport functions -- Bibliography.
9781470400811
Characteristic classes.
Fiber bundles (Mathematics).
Topological groups.
Electronic books.
QA613.618 -- .P455 1993eb
514/.72
Topological Chern-Weil Theory. - 1st ed. - 1 online resource (90 pages) - Memoirs of the American Mathematical Society ; v.105 . - Memoirs of the American Mathematical Society .
Intro -- Contents -- Introduction -- 1 Combinatorial preliminaries -- 2 The universal side of the problem: the topological Lie algebra, tensor algebra and invariant polynomials -- 3 Parallel transport functions and principal bundles -- 4 The complex C[sub(*)], the twisting cochain of a parallel transportfunction, and the algebraic classifying map S[sub(*)]:C[sub(*)] → ε[sub(*)] -- 5 Cochains on C[sub(*)] with values in Tg[sub(*)] -- 6 The main theorem -- Appendix. The cobar construction, holonomy, and parallel transport functions -- Bibliography.
9781470400811
Characteristic classes.
Fiber bundles (Mathematics).
Topological groups.
Electronic books.
QA613.618 -- .P455 1993eb
514/.72