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 |
| 巻 | 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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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
}
TY - JOUR
T1 - On the SO(N) and Sp(N) free energy of a rational homology three-sphere
AU - Takata, Toshie
PY - 2011/4/1
Y1 - 2011/4/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=79955610073&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=79955610073&partnerID=8YFLogxK
U2 - 10.1142/S0129167X11006866
DO - 10.1142/S0129167X11006866
M3 - Article
AN - SCOPUS:79955610073
VL - 22
SP - 465
EP - 482
JO - International Journal of Mathematics
JF - International Journal of Mathematics
SN - 0129-167X
IS - 4
ER -