| Autor: |
Upmeier, Markus |
| Předmět: |
|
| Zdroj: |
Quarterly Journal of Mathematics; Sep2021, Vol. 72 Issue 3, p1099-1132, 34p |
| Abstrakt: |
We develop a categorical index calculus for elliptic symbol families. The categorified index problems we consider are a secondary version of the traditional problem of expressing the index class in K -theory in terms of differential-topological data. They include orientation problems for moduli spaces as well as similar problems for skew-adjoint and self-adjoint operators. The main result of this paper is an excision principle that allows the comparison of categorified index problems on different manifolds. Excision is a powerful technique for actually solving the orientation problem; applications will appear in companion papers Joyce–Tanaka–Upmeier [ 16 ], Joyce–Upmeier [ 17 ] and Cao–Gross–Joyce [ 8 ]. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
|
