Chern character for matrix factorizations via Chern-Weil

Xuan Yu

doi:10.1016/j.jalgebra.2014.09.024

Chern character for matrix factorizations via Chern-Weil

Xuan Yu^*

^*Corresponding author for this work

University of Nebraska-Lincoln

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 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 language	English
Pages (from-to)	416-447
Number of pages	32
Journal	Journal of Algebra
Volume	424
DOIs	https://doi.org/10.1016/j.jalgebra.2014.09.024
Publication status	Published - 5 Feb 2015
Externally published	Yes

Keywords

Atiyah class
Chern character
Matrix factorizations

Access to Document

10.1016/j.jalgebra.2014.09.024

Cite this

@article{131b324eb5634b918f26f9982f3e69e7,

title = "Chern character for matrix factorizations via Chern-Weil",

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 Q) and any f∈. Q, which agrees with a recent result of Platt [9]. We also study some basic properties of the Chern character.",

keywords = "Atiyah class, Chern character, Matrix factorizations",

author = "Xuan Yu",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

year = "2015",

month = feb,

day = "5",

doi = "10.1016/j.jalgebra.2014.09.024",

language = "English",

volume = "424",

pages = "416--447",

journal = "Journal of Algebra",

issn = "0021-8693",

}

TY - JOUR

T1 - Chern character for matrix factorizations via Chern-Weil

AU - Yu, Xuan

PY - 2015/2/5

Y1 - 2015/2/5

N2 - 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.

AB - 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.

KW - Atiyah class

KW - Chern character

KW - Matrix factorizations

UR - http://www.scopus.com/inward/record.url?scp=84919817099&partnerID=8YFLogxK

U2 - 10.1016/j.jalgebra.2014.09.024

DO - 10.1016/j.jalgebra.2014.09.024

M3 - Article

AN - SCOPUS:84919817099

SN - 0021-8693

VL - 424

SP - 416

EP - 447

JO - Journal of Algebra

JF - Journal of Algebra

ER -

Chern character for matrix factorizations via Chern-Weil

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this