2013/10/28 by Xuan Yu, Yu, Xuan
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1310.7337
openalex publication_date 2013/10/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ℚ) and any f∈ Q, which agrees with a recent result of Platt. We also study some basic properties of the Chern character.