Nonlinear gravitons, null geodesics, and holomorphic disks

We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature ( + + - - ) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S 2 × S 2 , there is an infinite-dimensional moduli space of such conformal structures,...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Duke mathematical journal 2007-02, Vol.136 (2), p.205-273
Hauptverfasser: Lebrun, Claude, Mason, L. J.
Format: Artikel
Sprache:eng
Schlagworte:
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
container_end_page 273
container_issue 2
container_start_page 205
container_title Duke mathematical journal
container_volume 136
creator Lebrun, Claude
Mason, L. J.
description We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature ( + + - - ) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S 2 × S 2 , there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in C P 3 with boundary on some totally real embedding of R P 3 into C P 3 . Some of these conformal classes are represented by scalar-flat indefinite Kähler metrics, and our methods give particularly sharp results in connection with this special case
doi_str_mv 10.1215/S0012-7094-07-13621-4
format Article
fullrecord <record><control><sourceid>istex_proje</sourceid><recordid>TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_dmj_1166711369</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>ark_67375_765_CB8TG8VZ_P</sourcerecordid><originalsourceid>FETCH-LOGICAL-c348t-29defe050137578c471f9e2bebf4a9f61ba1b238c896f87ab66951f76dbedebd3</originalsourceid><addsrcrecordid>eNo9kNtKAzEQhoMoWKuPIOwDGM3sIQev1EWrUFSw9cKbkN0kbep2U5Kt6Nu7PdCr4R_m-2E-hC6BXEMKxc0HIZBiRkSOCcOQ0RRwfoQGUOQMs0zwYzQ4nJyisxgXmyhoOkC3r75tXGtUSGZB_bjOt_EqaddNk8yM1ya6us-q1cncN37pw2ru6kS7-B3P0YlVTTQX-zlE06fHSfmMx2-jl_J-jOss5x1OhTbWkIJAxgrG65yBFSatTGVzJSyFSkGVZrzmglrOVEWpKMAyqiujTaWzIbrb9a6CX5i6M-u6cVqugluq8Ce9crKcjvfb_dDLhQSglEGvQ_QVxa6iDj7GYOyBBiI3DuXWodwIkoTJrUOZ9xzecS525vcAqfAtKevfkYwWsnzgkxH__JLv2T_a3HU2</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Nonlinear gravitons, null geodesics, and holomorphic disks</title><source>Project Euclid Complete</source><creator>Lebrun, Claude ; Mason, L. J.</creator><creatorcontrib>Lebrun, Claude ; Mason, L. J.</creatorcontrib><description>We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature ( + + - - ) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S 2 × S 2 , there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in C P 3 with boundary on some totally real embedding of R P 3 into C P 3 . Some of these conformal classes are represented by scalar-flat indefinite Kähler metrics, and our methods give particularly sharp results in connection with this special case</description><identifier>ISSN: 0012-7094</identifier><identifier>EISSN: 1547-7398</identifier><identifier>DOI: 10.1215/S0012-7094-07-13621-4</identifier><language>eng</language><publisher>DUKE University Press</publisher><subject>14D21 ; 53C28 ; 81Txx ; 83C60 ; Applications of vector bundles and moduli spaces in mathematical physics (twistor theory ; instantons ; Newman-Penrose formalism ; quantum field theory) [See also 32L25 ; Spinor and twistor methods ; Twistor methods [See also 32L25]</subject><ispartof>Duke mathematical journal, 2007-02, Vol.136 (2), p.205-273</ispartof><rights>Copyright 2007 Duke University Press</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c348t-29defe050137578c471f9e2bebf4a9f61ba1b238c896f87ab66951f76dbedebd3</citedby><cites>FETCH-LOGICAL-c348t-29defe050137578c471f9e2bebf4a9f61ba1b238c896f87ab66951f76dbedebd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>230,315,781,785,886,927,27929,27930</link.rule.ids></links><search><creatorcontrib>Lebrun, Claude</creatorcontrib><creatorcontrib>Mason, L. J.</creatorcontrib><title>Nonlinear gravitons, null geodesics, and holomorphic disks</title><title>Duke mathematical journal</title><description>We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature ( + + - - ) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S 2 × S 2 , there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in C P 3 with boundary on some totally real embedding of R P 3 into C P 3 . Some of these conformal classes are represented by scalar-flat indefinite Kähler metrics, and our methods give particularly sharp results in connection with this special case</description><subject>14D21</subject><subject>53C28</subject><subject>81Txx</subject><subject>83C60</subject><subject>Applications of vector bundles and moduli spaces in mathematical physics (twistor theory</subject><subject>instantons</subject><subject>Newman-Penrose formalism</subject><subject>quantum field theory) [See also 32L25</subject><subject>Spinor and twistor methods</subject><subject>Twistor methods [See also 32L25]</subject><issn>0012-7094</issn><issn>1547-7398</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2007</creationdate><recordtype>article</recordtype><recordid>eNo9kNtKAzEQhoMoWKuPIOwDGM3sIQev1EWrUFSw9cKbkN0kbep2U5Kt6Nu7PdCr4R_m-2E-hC6BXEMKxc0HIZBiRkSOCcOQ0RRwfoQGUOQMs0zwYzQ4nJyisxgXmyhoOkC3r75tXGtUSGZB_bjOt_EqaddNk8yM1ya6us-q1cncN37pw2ru6kS7-B3P0YlVTTQX-zlE06fHSfmMx2-jl_J-jOss5x1OhTbWkIJAxgrG65yBFSatTGVzJSyFSkGVZrzmglrOVEWpKMAyqiujTaWzIbrb9a6CX5i6M-u6cVqugluq8Ce9crKcjvfb_dDLhQSglEGvQ_QVxa6iDj7GYOyBBiI3DuXWodwIkoTJrUOZ9xzecS525vcAqfAtKevfkYwWsnzgkxH__JLv2T_a3HU2</recordid><startdate>20070201</startdate><enddate>20070201</enddate><creator>Lebrun, Claude</creator><creator>Mason, L. J.</creator><general>DUKE University Press</general><general>Duke University Press</general><scope>BSCLL</scope><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20070201</creationdate><title>Nonlinear gravitons, null geodesics, and holomorphic disks</title><author>Lebrun, Claude ; Mason, L. J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c348t-29defe050137578c471f9e2bebf4a9f61ba1b238c896f87ab66951f76dbedebd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2007</creationdate><topic>14D21</topic><topic>53C28</topic><topic>81Txx</topic><topic>83C60</topic><topic>Applications of vector bundles and moduli spaces in mathematical physics (twistor theory</topic><topic>instantons</topic><topic>Newman-Penrose formalism</topic><topic>quantum field theory) [See also 32L25</topic><topic>Spinor and twistor methods</topic><topic>Twistor methods [See also 32L25]</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lebrun, Claude</creatorcontrib><creatorcontrib>Mason, L. J.</creatorcontrib><collection>Istex</collection><collection>CrossRef</collection><jtitle>Duke mathematical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lebrun, Claude</au><au>Mason, L. J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Nonlinear gravitons, null geodesics, and holomorphic disks</atitle><jtitle>Duke mathematical journal</jtitle><date>2007-02-01</date><risdate>2007</risdate><volume>136</volume><issue>2</issue><spage>205</spage><epage>273</epage><pages>205-273</pages><issn>0012-7094</issn><eissn>1547-7398</eissn><abstract>We develop a global twistor correspondence for pseudo-Riemannian conformal structures of signature ( + + - - ) with self-dual Weyl curvature. Near the conformal class of the standard indefinite product metric on S 2 × S 2 , there is an infinite-dimensional moduli space of such conformal structures, and each of these has the surprising global property that its null geodesics are all periodic. Each such conformal structure arises from a family of holomorphic disks in C P 3 with boundary on some totally real embedding of R P 3 into C P 3 . Some of these conformal classes are represented by scalar-flat indefinite Kähler metrics, and our methods give particularly sharp results in connection with this special case</abstract><pub>DUKE University Press</pub><doi>10.1215/S0012-7094-07-13621-4</doi><tpages>69</tpages></addata></record>
fulltext fulltext
identifier ISSN: 0012-7094
ispartof Duke mathematical journal, 2007-02, Vol.136 (2), p.205-273
issn 0012-7094
1547-7398
language eng
recordid cdi_projecteuclid_primary_oai_CULeuclid_euclid_dmj_1166711369
source Project Euclid Complete
subjects 14D21
53C28
81Txx
83C60
Applications of vector bundles and moduli spaces in mathematical physics (twistor theory
instantons
Newman-Penrose formalism
quantum field theory) [See also 32L25
Spinor and twistor methods
Twistor methods [See also 32L25]
title Nonlinear gravitons, null geodesics, and holomorphic disks
url https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2024-12-10T04%3A49%3A33IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-istex_proje&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Nonlinear%20gravitons,%20null%20geodesics,%20and%20holomorphic%20disks&rft.jtitle=Duke%20mathematical%20journal&rft.au=Lebrun,%20Claude&rft.date=2007-02-01&rft.volume=136&rft.issue=2&rft.spage=205&rft.epage=273&rft.pages=205-273&rft.issn=0012-7094&rft.eissn=1547-7398&rft_id=info:doi/10.1215/S0012-7094-07-13621-4&rft_dat=%3Cistex_proje%3Eark_67375_765_CB8TG8VZ_P%3C/istex_proje%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rfr_iscdi=true