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Kiyonori Gomi in nLab
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width: 0.3em;"></span> <a href="/nlab/show/HomePage" accesskey="H" title="Home page">Home Page</a> | <a href="/nlab/all_pages" accesskey="A" title="List of all pages">All Pages</a> | <a href="/nlab/latest_revisions" accesskey="U" title="Latest edits and page creations">Latest Revisions</a> | <a href="https://nforum.ncatlab.org/discussions/?CategoryID=0" title="Discuss this page on the nForum. It does not yet have a dedicated thread; feel free to create one, giving it the same name as the title of this page" style="color:black">Discuss this page</a> | <form accept-charset="utf-8" action="/nlab/search" id="navigationSearchForm" method="get"> <fieldset class="search"><input type="text" id="searchField" name="query" value="Search" style="display:inline-block; float: left;" onfocus="this.value == 'Search' ? this.value = '' : true" onblur="this.value == '' ? this.value = 'Search' : true" /></fieldset> </form> <span id='navEnd'></span> </div> <div id="revision"> <html xmlns="http://www.w3.org/1999/xhtml" xmlns:svg="http://www.w3.org/2000/svg" xml:lang="en" lang="en"> <head><meta http-equiv="Content-type" content="application/xhtml+xml;charset=utf-8" /><title>Selected writings</title></head> <body> <ul> <li> <p><a href="http://www.math.titech.ac.jp/~kgomi/">personal page</a></p> </li> <li> <p><a href="http://t2r2.star.titech.ac.jp/cgi-bin/researcherinfo.cgi?lv=en&q_researcher_content_number=CTT100804216">Institute page</a></p> </li> </ul> <h2 id="selected_writings">Selected writings</h2> <p>On <a class="existingWikiWord" href="/nlab/show/fiber+integration+in+differential+cohomology">fiber integration in differential cohomology</a> (fiberwise <a class="existingWikiWord" href="/nlab/show/Stokes+theorem">Stokes theorem</a> lifted to <a class="existingWikiWord" href="/nlab/show/Deligne+cohomology">Deligne cohomology</a>):</p> <ul> <li id="GomiTerashima00"><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <a class="existingWikiWord" href="/nlab/show/Yuji+Terashima">Yuji Terashima</a>, <em>A Fiber Integration Formula for the Smooth Deligne Cohomology</em>, International Mathematics Research Notices 2000, No. 13 (<a href="http://imrn.oxfordjournals.org/content/2000/13/699.full.pdf">pdf</a>, <a href="http://numr.wdfiles.com/local--files/differential-cohomology/gomi-terashima.pdf">pdf</a>, <a href="https://doi.org/10.1155/S1073792800000386">doi:10.1155/S1073792800000386</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/higher+parallel+transport">higher parallel transport</a> for <a class="existingWikiWord" href="/nlab/show/circle+n-bundles+with+connection">circle n-bundles with connection</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <a class="existingWikiWord" href="/nlab/show/Yuji+Terashima">Yuji Terashima</a>, <em>Higher dimensional parallel transport</em> Mathematical Research Letters 8, 25–33 (2001) (<a href="http://mrlonline.org/mrl/2001-008-001/2001-008-001-004.pdf">pdf</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/equivariant+ordinary+differential+cohomology">equivariant ordinary differential cohomology</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <em>Equivariant smooth Deligne cohomology</em>, Osaka J. Math. Volume 42, Number 2 (2005), 309-337 (<a href="https://projecteuclid.org/euclid.ojm/1153494380">euclid:ojm/1153494380</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/twisted+K-theory">twisted K-theory</a> via <a class="existingWikiWord" href="/nlab/show/vectorial+bundles">vectorial bundles</a>:</p> <ul> <li id="Gomi"> <p><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <em>Twisted K-theory and finite-dimensional approximation</em> (<a href="http://arxiv.org/abs/0803.2327">arXiv:0803.2327</a>)</p> </li> <li id="GomiTerashima"> <p><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <a class="existingWikiWord" href="/nlab/show/Yuji+Terashima">Yuji Terashima</a>, <em>Chern-Weil Construction for Twisted K-Theory</em>, Communication ins Mathematical Physics, Volume 299, Number 1, 225-254 (<a href="https://doi.org/10.1007/s00220-010-1080-1">doi:10.1007/s00220-010-1080-1</a>)</p> </li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/discrete+torsion">discrete torsion</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <a class="existingWikiWord" href="/nlab/show/Yuji+Terashima">Yuji Terashima</a>, <em>Discrete Torsion Phases as Topological Actions</em>, Commun. Math. Phys. (2009) 287: 889 (<a href="https://doi.org/10.1007/s00220-009-0736-1">doi:10.1007/s00220-009-0736-1</a>)</li> </ul> <p>On combined <a class="existingWikiWord" href="/nlab/show/twisted+K-theory">twisted</a> <a class="existingWikiWord" href="/nlab/show/equivariant+K-theory">equivariant</a> <a class="existingWikiWord" href="/nlab/show/KR-theory">KR-theory</a> of <a class="existingWikiWord" href="/nlab/show/orbifold">orbi-</a> <a class="existingWikiWord" href="/nlab/show/orientifolds">orientifolds</a>:</p> <ul> <li id="Gomi17"><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <em>Freed-Moore K-theory</em> (<a href="https://arxiv.org/abs/1705.09134">arXiv:1705.09134</a>, <a href="http://inspirehep.net/record/1601772">spire:1601772</a>)</li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/K-theory+classification+of+topological+phases+of+matter">K-theory classification of topological phases of matter</a> for the case of <a class="existingWikiWord" href="/nlab/show/topological+crystalline+insulators">topological crystalline insulators</a> classified by <a class="existingWikiWord" href="/nlab/show/equivariant+K-theory">equivariant K-theory</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Ken+Shiozaki">Ken Shiozaki</a>, <a class="existingWikiWord" href="/nlab/show/Masatoshi+Sato">Masatoshi Sato</a>, <a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <em>Topological Crystalline Materials - General Formulation, Module Structure, and Wallpaper Groups</em>, Phys. Rev. B <strong>95</strong> (2017) 235425 [<a href="https://arxiv.org/abs/1701.08725">arXiv:1701.08725</a>, <a href="https://doi.org/10.1103/PhysRevB.95.235425">doi:10.1103/PhysRevB.95.235425</a>]</li> </ul> <p>and using the <a class="existingWikiWord" href="/nlab/show/Atiyah-Hirzebruch+spectral+sequence">Atiyah-Hirzebruch spectral sequence</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Ken+Shiozaki">Ken Shiozaki</a>, <a class="existingWikiWord" href="/nlab/show/Masatoshi+Sato">Masatoshi Sato</a>, <a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <em>Atiyah-Hirzebruch Spectral Sequence in Band Topology: General Formalism and Topological Invariants for 230 Space Groups</em>, Phys. Rev. B <strong>106</strong> (2022) 165103 [<a href="https://arxiv.org/abs/1802.06694">arXiv:1802.06694</a>, <a href="https://doi.org/10.1103/PhysRevB.106.165103">doi:10.1103/PhysRevB.106.165103</a>]</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/T-duality">T-duality</a> in the <a class="existingWikiWord" href="/nlab/show/K-theory+classification+of+topological+phases+of+matter">K-theory classification of topological phases of matter</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <a class="existingWikiWord" href="/nlab/show/Guo+Chuan+Thiang">Guo Chuan Thiang</a>, <em>Crystallographic T-duality</em>. J.Geom.Phys <strong>139</strong> (2019) 50-77 [<a href="https://arxiv.org/abs/1806.11385">arXiv:1806.11385</a>, <a href="https://doi.org/10.1016/j.geomphys.2019.01.002">doi:10.1016/j.geomphys.2019.01.002</a>]</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/differential+K-theory">differential</a> <a class="existingWikiWord" href="/nlab/show/KO-theory">KO-theory</a> via <a class="existingWikiWord" href="/nlab/show/mass+terms">mass terms</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Kiyonori+Gomi">Kiyonori Gomi</a>, <a class="existingWikiWord" href="/nlab/show/Mayuko+Yamashita">Mayuko Yamashita</a>, <em>Differential KO-theory via gradations and mass terms</em> [<a href="https://arxiv.org/abs/2111.01377">arXiv:2111.01377</a>]</li> </ul> <div class="property">category: <a class="category_link" href="/nlab/all_pages/people">people</a></div></body></html> </div> <div class="revisedby"> <p> Last revised on June 23, 2023 at 14:10:49. 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