No Cover Image

Journal article 672 views 98 downloads

Motives and periods in Bianchi IX gravity models

Wentao Fan, Farzad Fathizadeh, Matilde Marcolli, Farzad Fathi Zadeh

Letters in Mathematical Physics, Volume: 108

Swansea University Author: Farzad Fathi Zadeh

Check full text

DOI (Published version): 10.1007/s11005-018-1096-6

Abstract

In this paper we show that the heat coefficients of the Dirac-Laplacian of SU(2)-invariant Bianchi IX metrics are periods of motives of complements in affine spaces of unions of quadrics and hyperplanes.

Published in: Letters in Mathematical Physics
ISBN: 1573-0530
ISSN: 0377-9017 1573-0530
Published: Springer 2018
Online Access: Check full text

URI: https://cronfa.swan.ac.uk/Record/cronfa40164
first_indexed 2018-05-15T12:36:13Z
last_indexed 2020-07-10T19:01:52Z
id cronfa40164
recordtype SURis
fullrecord <?xml version="1.0"?><rfc1807><datestamp>2020-07-10T14:10:06.5954857</datestamp><bib-version>v2</bib-version><id>40164</id><entry>2018-05-15</entry><title>Motives and periods in Bianchi IX gravity models</title><swanseaauthors><author><sid>c1859f5040a279bcd3fa991d8f6e7f21</sid><firstname>Farzad</firstname><surname>Fathi Zadeh</surname><name>Farzad Fathi Zadeh</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2018-05-15</date><deptcode>MACS</deptcode><abstract>In this paper we show that the heat coefficients of the Dirac-Laplacian of SU(2)-invariant Bianchi IX metrics are periods of motives of complements in affine spaces of unions of quadrics and hyperplanes.</abstract><type>Journal Article</type><journal>Letters in Mathematical Physics</journal><volume>108</volume><publisher>Springer</publisher><isbnElectronic>1573-0530</isbnElectronic><issnPrint>0377-9017</issnPrint><issnElectronic>1573-0530</issnElectronic><keywords>Bianchi IX gravity model, Dirac Laplacian, heat kernel expansion, periods, motives</keywords><publishedDay>7</publishedDay><publishedMonth>5</publishedMonth><publishedYear>2018</publishedYear><publishedDate>2018-05-07</publishedDate><doi>10.1007/s11005-018-1096-6</doi><url/><notes>Joint with Wentao Fan and Matilde Marcolli</notes><college>COLLEGE NANME</college><department>Mathematics and Computer Science School</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>MACS</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2020-07-10T14:10:06.5954857</lastEdited><Created>2018-05-15T11:56:54.2696826</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Mathematics and Computer Science - Mathematics</level></path><authors><author><firstname>Wentao</firstname><surname>Fan</surname><order>1</order></author><author><firstname>Farzad</firstname><surname>Fathizadeh</surname><order>2</order></author><author><firstname>Matilde</firstname><surname>Marcolli</surname><order>3</order></author><author><firstname>Farzad</firstname><surname>Fathi Zadeh</surname><order>4</order></author></authors><documents><document><filename>0040164-16052018105355.pdf</filename><originalFilename>MotivesBianchiIX.pdf</originalFilename><uploaded>2018-05-16T10:53:55.7400000</uploaded><type>Output</type><contentLength>339810</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2019-05-07T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2020-07-10T14:10:06.5954857 v2 40164 2018-05-15 Motives and periods in Bianchi IX gravity models c1859f5040a279bcd3fa991d8f6e7f21 Farzad Fathi Zadeh Farzad Fathi Zadeh true false 2018-05-15 MACS In this paper we show that the heat coefficients of the Dirac-Laplacian of SU(2)-invariant Bianchi IX metrics are periods of motives of complements in affine spaces of unions of quadrics and hyperplanes. Journal Article Letters in Mathematical Physics 108 Springer 1573-0530 0377-9017 1573-0530 Bianchi IX gravity model, Dirac Laplacian, heat kernel expansion, periods, motives 7 5 2018 2018-05-07 10.1007/s11005-018-1096-6 Joint with Wentao Fan and Matilde Marcolli COLLEGE NANME Mathematics and Computer Science School COLLEGE CODE MACS Swansea University 2020-07-10T14:10:06.5954857 2018-05-15T11:56:54.2696826 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Wentao Fan 1 Farzad Fathizadeh 2 Matilde Marcolli 3 Farzad Fathi Zadeh 4 0040164-16052018105355.pdf MotivesBianchiIX.pdf 2018-05-16T10:53:55.7400000 Output 339810 application/pdf Accepted Manuscript true 2019-05-07T00:00:00.0000000 true eng
title Motives and periods in Bianchi IX gravity models
spellingShingle Motives and periods in Bianchi IX gravity models
Farzad Fathi Zadeh
title_short Motives and periods in Bianchi IX gravity models
title_full Motives and periods in Bianchi IX gravity models
title_fullStr Motives and periods in Bianchi IX gravity models
title_full_unstemmed Motives and periods in Bianchi IX gravity models
title_sort Motives and periods in Bianchi IX gravity models
author_id_str_mv c1859f5040a279bcd3fa991d8f6e7f21
author_id_fullname_str_mv c1859f5040a279bcd3fa991d8f6e7f21_***_Farzad Fathi Zadeh
author Farzad Fathi Zadeh
author2 Wentao Fan
Farzad Fathizadeh
Matilde Marcolli
Farzad Fathi Zadeh
format Journal article
container_title Letters in Mathematical Physics
container_volume 108
publishDate 2018
institution Swansea University
isbn 1573-0530
issn 0377-9017
1573-0530
doi_str_mv 10.1007/s11005-018-1096-6
publisher Springer
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
document_store_str 1
active_str 0
description In this paper we show that the heat coefficients of the Dirac-Laplacian of SU(2)-invariant Bianchi IX metrics are periods of motives of complements in affine spaces of unions of quadrics and hyperplanes.
published_date 2018-05-07T13:35:02Z
_version_ 1821593883945992192
score 11.047674

Similar Items