日本語フィールド
著者：市川 尚志 読み: イチカワ タカシ題名：CHERN-SIMONS INVARIANT AND
DELIGNE-RIEMANN-ROCH ISOMORPHISM発表情報：TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 巻: 374 号: 4 ページ: 2987--3005キーワード：概要：Using the arithmetic Schottky uniformization theory, we show the arithmeticity of PSL2(C) Chern-Simons invariant. In terms of this invariant, we give an
explicit formula of the Deligne-Riemann-Roch isomorphism as the Zograf-McIntyre-Takhtajan infinite product for families of algebraic curves.
Applying this formula to the Liouville theory, we determine the unknown constant which appears in the holomorphic factorization formula of
determinants of Laplacians on Riemann surfaces.抄録：英語フィールド
Author：Takashi IchikawaTitle：CHERN-SIMONS INVARIANT AND
DELIGNE-RIEMANN-ROCH ISOMORPHISMAnnouncement information:TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Vol: 374 Issue: 4 Page: 2987--3005An abstract：Using the arithmetic Schottky uniformization theory, we show the arithmeticity of PSL2(C) Chern-Simons invariant. In terms of this invariant, we give an
explicit formula of the Deligne-Riemann-Roch isomorphism as the Zograf-McIntyre-Takhtajan infinite product for families of algebraic curves.
Applying this formula to the Liouville theory, we determine the unknown constant which appears in the holomorphic factorization formula of
determinants of Laplacians on Riemann surfaces.