On the SO(N) and Sp(N) free energy of a rational homology three-sphere

研究成果: ジャーナルへの寄稿記事

抄録

We give an explicit presentation of the SO(N) and Sp(N) free energy of lens spaces and show that the genus g terms of it are analytic in a neighborhood at zero, where we can choose the neighborhood independently of g. Moreover, we prove that for any rational homology three-sphere M and any g, the genus g terms of SO(N) and Sp(N) free energy of M agree up to sign. We also observe new weight systems related to the free energy.

元の言語英語
ページ(範囲)465-482
ページ数18
ジャーナルInternational Journal of Mathematics
22
発行部数4
DOI
出版物ステータス出版済み - 4 1 2011

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Free Energy
Homology
Genus
Lens Space
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Zero
Presentation

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

On the SO(N) and Sp(N) free energy of a rational homology three-sphere. / Takata, Toshie.

:: International Journal of Mathematics, 巻 22, 番号 4, 01.04.2011, p. 465-482.

研究成果: ジャーナルへの寄稿記事

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