Formal exponential map for graded manifolds

Hsuan Yi Liao; Mathieu Stienon

doi:10.1093/imrn/rnx130

Formal exponential map for graded manifolds

Hsuan Yi Liao, Mathieu Stienon

Mathematics

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

3 Scopus citations

Abstract

We introduce, for every Z-graded manifold, a formal exponential map defined in a purely algebraic way and study its properties. As an application, we give a simple new construction of a Fedosov type resolution of the algebra of smooth functions of Z-graded manifolds and we extend the Emmrich Weinstein theorem to the context of Z-graded manifolds.

Original language	English (US)
Pages (from-to)	700-730
Number of pages	31
Journal	International Mathematics Research Notices
Volume	2019
Issue number	3
DOIs	https://doi.org/10.1093/imrn/rnx130
State	Published - Feb 7 2019

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1093/imrn/rnx130

Fingerprint Dive into the research topics of 'Formal exponential map for graded manifolds'. Together they form a unique fingerprint.

Cite this

@article{1b4beb5827ad4a1cb2fb8a643fede7da,

title = "Formal exponential map for graded manifolds",

abstract = "We introduce, for every Z-graded manifold, a formal exponential map defined in a purely algebraic way and study its properties. As an application, we give a simple new construction of a Fedosov type resolution of the algebra of smooth functions of Z-graded manifolds and we extend the Emmrich Weinstein theorem to the context of Z-graded manifolds.",

author = "Liao, {Hsuan Yi} and Mathieu Stienon",

note = "Publisher Copyright: {\textcopyright} The Author(s) 2017.",

year = "2019",

month = feb,

day = "7",

doi = "10.1093/imrn/rnx130",

language = "English (US)",

volume = "2019",

pages = "700--730",

journal = "International Mathematics Research Notices",

issn = "1073-7928",

publisher = "Oxford University Press",

number = "3",

}

TY - JOUR

T1 - Formal exponential map for graded manifolds

AU - Liao, Hsuan Yi

AU - Stienon, Mathieu

N1 - Publisher Copyright: © The Author(s) 2017.

PY - 2019/2/7

Y1 - 2019/2/7

N2 - We introduce, for every Z-graded manifold, a formal exponential map defined in a purely algebraic way and study its properties. As an application, we give a simple new construction of a Fedosov type resolution of the algebra of smooth functions of Z-graded manifolds and we extend the Emmrich Weinstein theorem to the context of Z-graded manifolds.

AB - We introduce, for every Z-graded manifold, a formal exponential map defined in a purely algebraic way and study its properties. As an application, we give a simple new construction of a Fedosov type resolution of the algebra of smooth functions of Z-graded manifolds and we extend the Emmrich Weinstein theorem to the context of Z-graded manifolds.

UR - http://www.scopus.com/inward/record.url?scp=85056439765&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85056439765&partnerID=8YFLogxK

U2 - 10.1093/imrn/rnx130

DO - 10.1093/imrn/rnx130

M3 - Article

AN - SCOPUS:85056439765

VL - 2019

SP - 700

EP - 730

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

SN - 1073-7928

IS - 3

ER -

Formal exponential map for graded manifolds

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this