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幾何コロキウム
過去の記録 ～04/18｜次回の予定｜今後の予定 04/19～
| 開催情報 | 金曜日 10:00～11:30 数理科学研究科棟(駒場) 126号室 |
|---|---|
| 担当者 | 植田一石，金井雅彦，二木昭人 |
| 備考 | 開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください. |
2013年06月06日(木)
10:00-11:30 数理科学研究科棟(駒場) 122号室
開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください.
藤田玄 氏 (日本女子大学)
Equivariant local index and transverse index for circle action (JAPANESE)
開始時間と開催場所などは変更されることがあるので, セミナーごとにご確認ください.
藤田玄 氏 (日本女子大学)
Equivariant local index and transverse index for circle action (JAPANESE)
[ 講演概要 ]
In our joint work with Furuta and Yoshida we gave a formulation of index theory of Dirac-type operator on open Riemannian manifolds. We used a torus fibration and a perturbation by Dirac-type operator along fibers. In this talk we develop an equivariant version for circle action and apply it for Hamiltonian circle action case. We investigate the relation between our equivariant index and index of transverse elliptic operator/symbol developed by Atiyah, Paradan-Vergne and Braverman. We give a computation for the standard cylinder, which shows the difference between two equivariant indices.
In our joint work with Furuta and Yoshida we gave a formulation of index theory of Dirac-type operator on open Riemannian manifolds. We used a torus fibration and a perturbation by Dirac-type operator along fibers. In this talk we develop an equivariant version for circle action and apply it for Hamiltonian circle action case. We investigate the relation between our equivariant index and index of transverse elliptic operator/symbol developed by Atiyah, Paradan-Vergne and Braverman. We give a computation for the standard cylinder, which shows the difference between two equivariant indices.
