Todd class via homotopy perturbation theory

Shilin Yu

doi:10.1016/j.aim.2019.06.003

Todd class via homotopy perturbation theory

Shilin Yu

Xiamen University

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

2 Scopus citations

Abstract

We compute the quantized cycle class of a closed embedding of complex manifolds defined by Grivaux using homotopy perturbation theory. In the case of a diagonal embedding, our approach provides a novel perspective of the usual Todd class of a complex manifold.

Original language	English
Pages (from-to)	297-325
Number of pages	29
Journal	Advances in Mathematics
Volume	352
DOIs	https://doi.org/10.1016/j.aim.2019.06.003
State	Published - 20 Aug 2019
Externally published	Yes

Keywords

Bernoulli numbers
Cohesive modules
Formal neighborhood
Grothendieck-Riemann-Roch theorem
Homotopy perturbation theory
Todd class

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10.1016/j.aim.2019.06.003

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@article{58947227e8064bd9acdff08770ea4557,

title = "Todd class via homotopy perturbation theory",

abstract = "We compute the quantized cycle class of a closed embedding of complex manifolds defined by Grivaux using homotopy perturbation theory. In the case of a diagonal embedding, our approach provides a novel perspective of the usual Todd class of a complex manifold.",

keywords = "Bernoulli numbers, Cohesive modules, Formal neighborhood, Grothendieck-Riemann-Roch theorem, Homotopy perturbation theory, Todd class",

author = "Shilin Yu",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = aug,

day = "20",

doi = "10.1016/j.aim.2019.06.003",

language = "英语",

volume = "352",

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journal = "Advances in Mathematics",

issn = "0001-8708",

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TY - JOUR

T1 - Todd class via homotopy perturbation theory

AU - Yu, Shilin

PY - 2019/8/20

Y1 - 2019/8/20

N2 - We compute the quantized cycle class of a closed embedding of complex manifolds defined by Grivaux using homotopy perturbation theory. In the case of a diagonal embedding, our approach provides a novel perspective of the usual Todd class of a complex manifold.

AB - We compute the quantized cycle class of a closed embedding of complex manifolds defined by Grivaux using homotopy perturbation theory. In the case of a diagonal embedding, our approach provides a novel perspective of the usual Todd class of a complex manifold.

KW - Bernoulli numbers

KW - Cohesive modules

KW - Formal neighborhood

KW - Grothendieck-Riemann-Roch theorem

KW - Homotopy perturbation theory

KW - Todd class

UR - https://www.scopus.com/pages/publications/85067209938

U2 - 10.1016/j.aim.2019.06.003

DO - 10.1016/j.aim.2019.06.003

M3 - 文章

AN - SCOPUS:85067209938

SN - 0001-8708

VL - 352

SP - 297

EP - 325

JO - Advances in Mathematics

JF - Advances in Mathematics

ER -

Todd class via homotopy perturbation theory

Abstract

Keywords

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