Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584567 | Journal of Algebra | 2015 | 32 Pages |
Abstract
Given a matrix factorization, we use the Atiyah class to give an algebraic Chern–Weil type construction to its Chern character; this allows us to realize the Chern character in an explicit way. It also generalizes the existing result to any smooth k-algebra Q (k a commutative ring containing QQ) and any f∈Qf∈Q, which agrees with a recent result of Platt [9]. We also study some basic properties of the Chern character.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xuan Yu,