Representations of the Heisenberg algebra on a Riemann surface
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Publication:1262407
DOI10.1007/BF02125133zbMath0686.30035OpenAlexW2049025620MaRDI QIDQ1262407
Andrzej Lesniewski, Arthur Jaffe, Sławomir Klimek-Chudy
Publication date: 1989
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02125133
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Cites Work
- Unnamed Item
- Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons
- \(c=I\) conformal field theories on Riemann surfaces
- The group of local biholomorphisms of \({\mathbb{C}}^ 1\) and conformal field theory in the operator formalism
- The real analytic theory of Teichmüller space
- Global Laurent expansions on Riemann surfaces
- Theta functions on Riemann surfaces