lSpace Chern-Weil forms and abstract homotopy theory

Reference Details

cite key

Freed+Hopkins

title

Chern-Weil forms and abstract homotopy theory

author

Freed, D.S.; Hopkins, M.J.

eprint

http://arxiv.org/abs/1301.5959v1

mrclass

math.DG

note

arXiv:1301.5959v1; 41 pages

url

http://arxiv.org/abs/1301.5959v1

arxiv

1301.5959

refbase

2025

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Initial Comments

1. Reasons for bookmarking

   1. The authors’ reputations precede them.
   2. Chern-Weil theory is something I understand a little but would like to understand a little bit more.
   3. The idea of “all the possible invariants” felt reminiscent of cohomology operations.

2. Initial Read Through

   1. Introduction is very general, contains a useful discussion on why “on beyond manifolds” is important.
   2. Still not convinced by the “everything is better with sheaves” line. At times, it feels like the answer is simply rephrasing the question (this is a general comment, not specific to this paper).

3. Skim Read Point

Switched to “skim reading” around about Section 4.

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category: differential topology