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Results tagged with at.algebraic-topology
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user 156492
Homotopy theory, homological algebra, algebraic treatments of manifolds.
3
votes
Conceptual definition of the extension of a connection to 1-forms
Although the answer is already given, it may be helpful to point out how the coordinate definition contains the multilinear definition, in a single step of work. From the definition
$$(d^\nabla s)_{ij …
- 2,247
5
votes
0
answers
291
views
Chern-Weil theory in the cohomological Atiyah-Singer theorem
I am interested in the following piece of data appearing in the cohomological Atiyah-Singer theorem. My reference is "The index of elliptic operators. III" by Atiyah and Singer.
Let $D:\Gamma(E)\to\Ga …
- 2,247