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Schlichenmaier, Martin

Author ID: schlichenmaier.martin Recent zbMATH articles by "Schlichenmaier, Martin"
Published as: Schlichenmaier, Martin; Schlichenmaier, M.; Schlichenmeier, Martin
External Links: MGP

Publications by Year

Citations contained in zbMATH Open

48 Publications have been cited 769 times in 370 Documents Cited by Year
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
156
1994
Identification of Berezin-Toeplitz deformation quantization. Zbl 0997.53067
Karabegov, A. V.; Schlichenmaier, M.
58
2001
Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results. Zbl 1207.81049
Schlichenmaier, Martin
45
2010
Deformation quantization of compact Kähler manifolds by Berezin-Toeplitz quantization. Zbl 1028.53085
Schlichenmaier, Martin
42
2000
Krichever-Novikov algebras for more than two points. Zbl 0691.30037
Schlichenmaier, Martin
36
1990
Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points. Zbl 0703.30039
Schlichenmaier, Martin
26
1990
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
25
1991
Local cocycles and central extensions for multipoint algebras of Krichever-Novikov type. Zbl 1124.17305
Schlichenmaier, Martin
23
2003
Global deformations of the Witt algebra of Krichever-Novikov type. Zbl 1052.17011
Fialowski, Alice; Schlichenmaier, Martin
23
2003
Krichever-Novikov type algebras. Theory and applications. Zbl 1347.17001
Schlichenmaier, Martin
23
2014
Krichever-Novikov algebras for more than two points: explicit generators. Zbl 0703.30038
Schlichenmaier, Martin
21
1990
Higher genus affine algebras of Krichever-Novikov type. Zbl 1115.17010
Schlichenmaier, Martin
19
2003
An introduction to Riemann surfaces, algebraic curves and moduli spaces. Zbl 0683.14007
Schlichenmaier, Martin
19
1989
Global geometric deformations of current algebras as Krichever-Novikov type algebras. Zbl 1136.17307
Fialowski, Alice; Schlichenmaier, Martin
19
2005
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019
Schlichenmaier, M.; Sheinman, O. K.
18
1999
Almost-Kähler deformation quantization. Zbl 1044.53061
Karabegov, Alexander V.; Schlichenmaier, Martin
17
2001
The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503
Schlichenmaier, M.; Sheinman, O. K.
17
1998
Verallgemeinerte Krichever-Novikov Algebren und deren Darstellungen. (Generalized Krichever-Novikov algebras and their representation). Zbl 0721.30031
Schlichenmaier, Martin
16
1990
Coherent state embeddings, polar divisors and Cauchy formulas. Zbl 1002.81027
Berceanu, Stefan; Schlichenmaier, Martin
15
2000
Berezin-Toeplitz quantization and Berezin transform. Zbl 0983.81035
Schlichenmaier, Martin
15
2001
Degenerations of generalized Krichever-Novikov algebras on tori. Zbl 0806.17024
Schlichenmaier, Martin
13
1993
The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014
Schlichenmaier, Martin; Sheinman, O. K.
11
2004
Berezin-Toeplitz quantization and star products for compact Kähler manifolds. Zbl 1316.53096
Schlichenmaier, Martin
10
2012
Quantization of singular symplectic quotients. Based on a research-in-pairs workshop, Oberwolfach, Germany, August 2–6, 1999. Zbl 0970.00023
9
2001
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module. Zbl 1367.17016
Schlichenmaier, Martin
9
2014
String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras. Zbl 0774.17027
Ruffing, Andreas; Deck, Thomas; Schlichenmaier, Martin
8
1992
Multipoint Lax operator algebras: almost-graded structure and central extensions. Zbl 1361.17021
Schlichenmaier, M.
8
2014
Central extensions of Lax operator algebras. Zbl 1204.17016
Schlichenmaier, M.; Sheinman, O. K.
7
2008
Berezin-Toeplitz quantization for compact Kähler manifolds. An introduction. Zbl 1235.53096
Schlichenmaier, Martin
6
2011
Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras. Zbl 1127.81021
Fialowski, A.; Schlichenmaier, M.
6
2007
Lie superalgebras of Krichever-Novikov type and their central extensions. Zbl 1376.17029
Schlichenmaier, Martin
6
2013
From the Virasoro algebra to Krichever-Novikov type algebras and beyond. Zbl 1369.17023
Schlichenmaier, Martin
6
2014
\(N\)-point Virasoro algebras are multipoint Krichever-Novikov-type algebras. Zbl 1406.17029
Schlichenmaier, Martin
6
2017
An introduction to Riemann surfaces, algebraic curves and moduli spaces. 2nd ed. Zbl 1153.14023
Schlichenmaier, Martin
5
2007
Higher genus affine Lie algebras of Krichever-Novikov type. Zbl 1148.17015
Schlichenmaier, Martin
4
2007
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules. Zbl 1475.17033
Ecker, Jill; Schlichenmaier, Martin
4
2021
Krichever-Novikov type algebras. An introduction. Zbl 1427.17034
Schlichenmaier, Martin
4
2016
Berezin-Toeplitz quantization of the moduli space of flat SU\((N)\) connections. Zbl 1151.81026
Schlichenmaier, Martin
3
2007
Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Zbl 1329.00214
2
2015
Sugawara construction for higher genus Riemann surfaces. Zbl 0943.17018
Schlichenmaier, Martin
1
1999
Elements of a global operator approach to Wess-Zumino-Novikov-Witten models. Zbl 1006.17023
Schlichenmaier, Martin
1
2000
Almost-graded central extensions of Lax operator algebras. Zbl 1275.17045
Schlichenmaier, Martin
1
2011
Deformations of the Witt, Virasoro, and current algebra. Zbl 1169.17011
Schlichenmaier, M.
1
2009
XXVI international workshop on geometrical methods in physics, Białowieża, Poland, 1-7 July 2007. Zbl 1162.81003
1
2007
Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056
1
2014
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds. Zbl 1436.53003
Schlichenmaier, Martin
1
2018
An elementary proof of the formal rigidity of the Witt and Virasoro algebra. Zbl 1393.17032
Schlichenmaier, Martin
1
2013
Quantum geometry of moduli spaces with applications to TQFT and RNA folding. A volume dedicated to the Centre for Quantum Geometry of Moduli Spaces, QGM, at Aarhus University, Denmark. Zbl 1366.00072
1
2017
The low-dimensional algebraic cohomology of the Witt and the Virasoro algebra with values in natural modules. Zbl 1475.17033
Ecker, Jill; Schlichenmaier, Martin
4
2021
Berezin-Toeplitz quantization and naturally defined star products for Kähler manifolds. Zbl 1436.53003
Schlichenmaier, Martin
1
2018
\(N\)-point Virasoro algebras are multipoint Krichever-Novikov-type algebras. Zbl 1406.17029
Schlichenmaier, Martin
6
2017
Quantum geometry of moduli spaces with applications to TQFT and RNA folding. A volume dedicated to the Centre for Quantum Geometry of Moduli Spaces, QGM, at Aarhus University, Denmark. Zbl 1366.00072
1
2017
Krichever-Novikov type algebras. An introduction. Zbl 1427.17034
Schlichenmaier, Martin
4
2016
Geometric methods in physics. XXXIII workshop, Białowieża, Poland, June 29 – July 5, 2014. Zbl 1329.00214
2
2015
Krichever-Novikov type algebras. Theory and applications. Zbl 1347.17001
Schlichenmaier, Martin
23
2014
An elementary proof of the vanishing of the second cohomology of the Witt and Virasoro algebra with values in the adjoint module. Zbl 1367.17016
Schlichenmaier, Martin
9
2014
Multipoint Lax operator algebras: almost-graded structure and central extensions. Zbl 1361.17021
Schlichenmaier, M.
8
2014
From the Virasoro algebra to Krichever-Novikov type algebras and beyond. Zbl 1369.17023
Schlichenmaier, Martin
6
2014
Geometric methods in physics. XXXII workshop, Białowieża, Poland, June 30 – July 6, 2013. Selected papers. Zbl 1296.00056
1
2014
Lie superalgebras of Krichever-Novikov type and their central extensions. Zbl 1376.17029
Schlichenmaier, Martin
6
2013
An elementary proof of the formal rigidity of the Witt and Virasoro algebra. Zbl 1393.17032
Schlichenmaier, Martin
1
2013
Berezin-Toeplitz quantization and star products for compact Kähler manifolds. Zbl 1316.53096
Schlichenmaier, Martin
10
2012
Berezin-Toeplitz quantization for compact Kähler manifolds. An introduction. Zbl 1235.53096
Schlichenmaier, Martin
6
2011
Almost-graded central extensions of Lax operator algebras. Zbl 1275.17045
Schlichenmaier, Martin
1
2011
Berezin-Toeplitz quantization for compact Kähler manifolds. A review of results. Zbl 1207.81049
Schlichenmaier, Martin
45
2010
Deformations of the Witt, Virasoro, and current algebra. Zbl 1169.17011
Schlichenmaier, M.
1
2009
Central extensions of Lax operator algebras. Zbl 1204.17016
Schlichenmaier, M.; Sheinman, O. K.
7
2008
Global geometric deformations of the Virasoro algebra, current and affine algebras by Krichever-Novikov type algebras. Zbl 1127.81021
Fialowski, A.; Schlichenmaier, M.
6
2007
An introduction to Riemann surfaces, algebraic curves and moduli spaces. 2nd ed. Zbl 1153.14023
Schlichenmaier, Martin
5
2007
Higher genus affine Lie algebras of Krichever-Novikov type. Zbl 1148.17015
Schlichenmaier, Martin
4
2007
Berezin-Toeplitz quantization of the moduli space of flat SU\((N)\) connections. Zbl 1151.81026
Schlichenmaier, Martin
3
2007
XXVI international workshop on geometrical methods in physics, Białowieża, Poland, 1-7 July 2007. Zbl 1162.81003
1
2007
Global geometric deformations of current algebras as Krichever-Novikov type algebras. Zbl 1136.17307
Fialowski, Alice; Schlichenmaier, Martin
19
2005
The Knizhnik-Zamolodchikov equations for positive genus, and Krichever-Novikov algebras. Zbl 1066.17014
Schlichenmaier, Martin; Sheinman, O. K.
11
2004
Local cocycles and central extensions for multipoint algebras of Krichever-Novikov type. Zbl 1124.17305
Schlichenmaier, Martin
23
2003
Global deformations of the Witt algebra of Krichever-Novikov type. Zbl 1052.17011
Fialowski, Alice; Schlichenmaier, Martin
23
2003
Higher genus affine algebras of Krichever-Novikov type. Zbl 1115.17010
Schlichenmaier, Martin
19
2003
Identification of Berezin-Toeplitz deformation quantization. Zbl 0997.53067
Karabegov, A. V.; Schlichenmaier, M.
58
2001
Almost-Kähler deformation quantization. Zbl 1044.53061
Karabegov, Alexander V.; Schlichenmaier, Martin
17
2001
Berezin-Toeplitz quantization and Berezin transform. Zbl 0983.81035
Schlichenmaier, Martin
15
2001
Quantization of singular symplectic quotients. Based on a research-in-pairs workshop, Oberwolfach, Germany, August 2–6, 1999. Zbl 0970.00023
9
2001
Deformation quantization of compact Kähler manifolds by Berezin-Toeplitz quantization. Zbl 1028.53085
Schlichenmaier, Martin
42
2000
Coherent state embeddings, polar divisors and Cauchy formulas. Zbl 1002.81027
Berceanu, Stefan; Schlichenmaier, Martin
15
2000
Elements of a global operator approach to Wess-Zumino-Novikov-Witten models. Zbl 1006.17023
Schlichenmaier, Martin
1
2000
Wess-Zumino-Witten-Novikov theory, Knizhnik-Zamolodchikov equations, and Krichever-Novikov algebras. Zbl 0943.17019
Schlichenmaier, M.; Sheinman, O. K.
18
1999
Sugawara construction for higher genus Riemann surfaces. Zbl 0943.17018
Schlichenmaier, Martin
1
1999
The Sugawara construction and Casimir operators for Krichever-Novikov algebras. Zbl 1006.17503
Schlichenmaier, M.; Sheinman, O. K.
17
1998
Toeplitz quantization of Kähler manifolds and \(gl(N)\), \(N\to \infty\) limits. Zbl 0813.58026
Bordemann, Martin; Meinrenken, Eckhard; Schlichenmaier, Martin
156
1994
Degenerations of generalized Krichever-Novikov algebras on tori. Zbl 0806.17024
Schlichenmaier, Martin
13
1993
String branchings on complex tori and algebraic representations of generalized Krichever-Novikov algebras. Zbl 0774.17027
Ruffing, Andreas; Deck, Thomas; Schlichenmaier, Martin
8
1992
\(gl(\infty{})\) and geometric quantization. Zbl 0735.58020
Bordemann, Martin; Hoppe, Jens; Schaller, Peter; Schlichenmaier, Martin
25
1991
Krichever-Novikov algebras for more than two points. Zbl 0691.30037
Schlichenmaier, Martin
36
1990
Central extensions and semi-infinite wedge representations of Krichever- Novikov algebras for more than two points. Zbl 0703.30039
Schlichenmaier, Martin
26
1990
Krichever-Novikov algebras for more than two points: explicit generators. Zbl 0703.30038
Schlichenmaier, Martin
21
1990
Verallgemeinerte Krichever-Novikov Algebren und deren Darstellungen. (Generalized Krichever-Novikov algebras and their representation). Zbl 0721.30031
Schlichenmaier, Martin
16
1990
An introduction to Riemann surfaces, algebraic curves and moduli spaces. Zbl 0683.14007
Schlichenmaier, Martin
19
1989
all top 5

Cited by 352 Authors

24 Schlichenmaier, Martin
13 Sheĭnman, Oleg Karlovich
12 Engliš, Miroslav
11 Cox, Ben Lewis
11 Polterovich, Leonid Viktorovich
10 Ioos, Louis
9 Ma, Xiaonan
9 Sako, Akifumi
9 Vacaru, Sergiu Ion
8 Andersen, Jørgen Ellegaard
8 Barron, Tatyana
8 Marinescu, George
7 Karabegov, Alexander V.
7 Xu, Hao
6 Berceanu, Stefan
6 Bordemann, Martin
6 Fialowski, Alice
6 Le Floch, Yohann
6 Pelayo, Alvaro
6 Uribe, Alejandro
5 Ali, Syed Twareque
5 Charles, Laurent
5 Futorny, Vyacheslav M.
5 Makhlouf, Abdenacer
5 Sharapov, Alexey A.
5 van de Ven, Christiaan J. F.
5 Waldmann, Stefan
4 Galasso, Andrea
4 Hoppe, Jens
4 Isidro San Juan, José-Maria
4 Kordyukov, Yuri A.
4 Leung, Naichung Conan
4 Umetsu, Hiroshi
4 Viviani, Milo
4 Wagemann, Friedrich
3 Arnlind, Joakim
3 Borthwick, David
3 Bremner, Murray R.
3 Chan, Kwokwai
3 Deleporte, Alix
3 Hirota, Yuji
3 Landsman, Nicolaas P.
3 Li, Qin
3 Lyakhovich, Simon L.
3 Martins, Renato Alessandro
3 Moretti, Valter
3 Neumaier, Nikolai
3 Paoletti, Roberto
3 Paul, Thierry
3 Sämann, Christian
3 Schmidt, Matthias
3 Zhao, Kaiming
2 Bauer, Wolfram
2 Beltiţă, Daniel
2 Billig, Yuly
2 Bismut, Jean-Michel
2 Buzaglo, Lucas
2 Carow-Watamura, Ursula
2 Coburn, Lewis A.
2 D’Andrea, Francesco
2 Deck, Thomas
2 Dullin, Holger R.
2 Elfimov, Boris M.
2 Ferrari, Franco
2 Galé, José E.
2 Gohara, Jumpei
2 Guo, Xiangqian
2 Hall, Brian C.
2 Hawkins, Eli
2 Jahn, Jiří
2 Jurisich, Elizabeth
2 Klimek, Slawomir
2 Krasil’shchik, Iosif Semënovich
2 Kunyavskiĭ, Boris Èmmanuilovich
2 Lesniewski, Andrzej
2 Lü, Rencai
2 Lu, Wen
2 Maharana, Jnanadeva
2 Malusà, Alessandro
2 Modin, Klas
2 Morozov, Oleg I.
2 Nilsson, Jonathan
2 Nunes, João Pedro Vidal
2 Pei, Yufeng
2 Puchol, Martin
2 Rudolph, Gerd
2 Saadaoui, Nejib
2 Schmidt, Lennart
2 Schmitt, Philipp
2 Sengupta, Gautam
2 Serajelahi, Baran
2 Shabtai, Ood
2 Shimada, Hidehiko
2 Suzuki, Toshiya
2 Szabo, Richard J.
2 Tang, Xiang
2 Terwilliger, Paul M.
2 Trzetrzelewski, Maciej
2 Vojčák, Petr
2 Vũ Ngọc, San
...and 252 more Authors
all top 5

Cited in 125 Serials

33 Journal of Mathematical Physics
31 Journal of Geometry and Physics
24 Communications in Mathematical Physics
23 Letters in Mathematical Physics
12 Reviews in Mathematical Physics
9 Nuclear Physics. B
7 Advances in Mathematics
7 Journal of Functional Analysis
7 The Journal of Geometric Analysis
7 International Journal of Geometric Methods in Modern Physics
6 International Journal of Modern Physics A
5 Theoretical and Mathematical Physics
5 Journal of Algebra
5 Proceedings of the American Mathematical Society
5 Journal of High Energy Physics
5 Proceedings of the Steklov Institute of Mathematics
4 International Journal of Theoretical Physics
4 Journal of Mathematical Analysis and Applications
4 Reports on Mathematical Physics
4 Transactions of the American Mathematical Society
3 Communications in Algebra
3 Geometriae Dedicata
3 Journal für die Reine und Angewandte Mathematik
3 International Journal of Mathematics
3 Doklady Mathematics
3 Communications in Contemporary Mathematics
3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
3 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
3 Analysis and Mathematical Physics
2 Modern Physics Letters A
2 Physics Letters. A
2 Fortschritte der Physik
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Duke Mathematical Journal
2 Functional Analysis and its Applications
2 Integral Equations and Operator Theory
2 Inventiones Mathematicae
2 Journal of the London Mathematical Society. Second Series
2 Mathematische Annalen
2 Mathematische Zeitschrift
2 Annals of Global Analysis and Geometry
2 Asymptotic Analysis
2 Communications in Partial Differential Equations
2 Journal of Mathematical Sciences (New York)
2 The Ramanujan Journal
2 Journal of Nonlinear Mathematical Physics
2 Foundations of Computational Mathematics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 São Paulo Journal of Mathematical Sciences
2 Journal of Spectral Theory
2 Afrika Matematika
1 Classical and Quantum Gravity
1 General Relativity and Gravitation
1 Israel Journal of Mathematics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Mathematical Notes
1 Physics Letters. B
1 Physics Reports
1 Reviews of Modern Physics
1 Russian Mathematical Surveys
1 Ukrainian Mathematical Journal
1 Chaos, Solitons and Fractals
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 American Journal of Mathematics
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Glasgow Mathematical Journal
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Differential Equations
1 Journal of Pure and Applied Algebra
1 Michigan Mathematical Journal
1 Osaka Journal of Mathematics
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Physica D
1 Journal of the American Mathematical Society
1 Differential Geometry and its Applications
1 Annals of Physics
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Journal of Nonlinear Science
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Advances in Applied Clifford Algebras
1 Journal of Lie Theory
1 Bulletin des Sciences Mathématiques
1 Integral Transforms and Special Functions
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Electronic Research Announcements of the American Mathematical Society
1 The Journal of Fourier Analysis and Applications
1 Documenta Mathematica
1 European Mathematical Society Newsletter
1 Transformation Groups
...and 25 more Serials
all top 5

Cited in 43 Fields

181 Quantum theory (81-XX)
155 Differential geometry (53-XX)
89 Nonassociative rings and algebras (17-XX)
76 Several complex variables and analytic spaces (32-XX)
56 Operator theory (47-XX)
46 Algebraic geometry (14-XX)
35 Global analysis, analysis on manifolds (58-XX)
33 Functional analysis (46-XX)
27 Dynamical systems and ergodic theory (37-XX)
24 Functions of a complex variable (30-XX)
23 Relativity and gravitational theory (83-XX)
19 Partial differential equations (35-XX)
15 Topological groups, Lie groups (22-XX)
10 Manifolds and cell complexes (57-XX)
9 Associative rings and algebras (16-XX)
8 Special functions (33-XX)
8 Mechanics of particles and systems (70-XX)
6 Number theory (11-XX)
6 Fluid mechanics (76-XX)
4 Approximations and expansions (41-XX)
4 Numerical analysis (65-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Category theory; homological algebra (18-XX)
3 Abstract harmonic analysis (43-XX)
3 Statistical mechanics, structure of matter (82-XX)
2 \(K\)-theory (19-XX)
2 Potential theory (31-XX)
2 Ordinary differential equations (34-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Integral transforms, operational calculus (44-XX)
2 Algebraic topology (55-XX)
2 Probability theory and stochastic processes (60-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Commutative algebra (13-XX)
1 Group theory and generalizations (20-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 Statistics (62-XX)
1 Geophysics (86-XX)

Citations by Year