Chern character for matrix factorizations via Chern-Weil

Xuan Yu*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


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 [9]. We also study some basic properties of the Chern character.

Original languageEnglish
Pages (from-to)416-447
Number of pages32
JournalJournal of Algebra
Publication statusPublished - 5 Feb 2015
Externally publishedYes


  • Atiyah class
  • Chern character
  • Matrix factorizations


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