Wissenschaftliche Veröffentlichungen
Prof. Dr. Michael Forger
Stand: September 2016
Gebiet: Mathematik
Originalarbeiten in wissenschaftlichen Zeitschriften:
1.
M.
Forger: Invariant Polynomials and Molien Functions.
J. Math. Phys. 39
(1998) 1107-1141.
2.
F.
Antoneli, M. Forger & P.A. Gaviria:
Maximal Subgroups of Compact Lie Groups.
J. Lie Theory 22 (2012) 949-1024; arXiv:math/0605784v3.
Konferenzbeiträge:
Nur Beiträge zu internationalen Konferenzen aus eingeladenen Vorträgen sind
aufgeführt:
1.
M.
Forger: Invariant Polynomials and Molien Functions.
In: Group 21 - Physical Applications and Mathematical Aspects of Geometry,
Groups and Algebras (Proceedings of the XXIst
International Colloquium on Group Theoretical Methods in Physics, Goslar,
Germany 1996), pp. 223-227, Eds: H.-D. Doebner, P. Nattermann and W.
Scherer; World Scientific 1997.
Gebiet: Mathematische Physik
Originalarbeiten in wissenschaftlichen Zeitschriften
[MP-P]:
1.
M.
Forger: Gauge Theories, Instantons and Algebraic
Geometry. Rep. Math. Phys. 16 (1979) 359-384.
2.
A.
Back, M. Forger & P.G.O. Freund: New Gravitational Instantons
and Universal Spin Structures. Phys. Lett. B 77
(1978) 181-184.
3.
M.
Forger & H. Heß: Universal Metaplectic
Structures and Geometric Quantization. Commun. Math. Phys. 64
(1979) 269-278.
4.
H.
Eichenherr & M. Forger: On the Dual Symmetry
of the Nonlinear Sigma Models. Nucl. Phys. B 155
(1979) 381-393.
5.
H.
Eichenherr & M. Forger: More about Nonlinear
Sigma Models on Symmetric Spaces. Nucl. Phys. B 164
(1980) 528-535 & 282 (1987) 745-746 (erratum).
6.
H.
Eichenherr & M. Forger: Higher Local
Conservation Laws for Nonlinear Sigma Models on Symmetric Spaces. Commun. Math. Phys. 82
(1981) 227-255.
7.
E.
Abdalla, M. Forger & M. Gomes: On the Origin
of Anomalies in the Quantum Nonlocal Charge for the Generalized Nonlinear Sigma
Models. Nucl. Phys. B 210
[FS 6] (1982) 181-192.
8.
E.
Abdalla, M. Forger & A. Lima
9.
E.
Abdalla & M. Forger: Integrable
Nonlinear Sigma Models with Fermions. Commun. Math. Phys. 104
(1986) 123-150.
10.
M.
Bordemann, M. Forger & H. Römer:
Homogeneous Kähler Manifolds: Paving the Way
towards New Supersymmetric Sigma Models. Commun. Math. Phys. 102
(1986) 605-647.
11.
M.
Forger & P. Zizzi: Twisted Chiral
Models with Wess-Zumino Terms, and Strings. Nucl. Phys. B 287
(1987) 131-143.
12.
E.
Abdalla, M.C.B. Abdalla
& M. Forger: Exact S-Matrices for Anomaly-Free Nonlinear Sigma Models on
Symmetric Spaces. Nucl. Phys. B 297
(1988) 374-400.
13.
E.
Abdalla, M. Forger & M. Jacques: Higher
Conservation Laws for Ten-Dimensional Supersymmetric
Yang-Mills Theories. Nucl. Phys. B 307
(1988) 198-220.
14.
M.
Forger & J. Kellendonk: Classical BRST-Cohomology and Invariant Functions on
15.
M.
Forger, J. Laartz & U. Schäper:
Current Algebra of Classical Non-Linear Sigma Models. Commun. Math. Phys. 146
(1992) 397-402.
16.
M.
Bordemann, M. Forger, J. Laartz
& U. Schäper: The Lie-Poisson Structure of Integrable Classical Non-Linear Sigma Models. Commun. Math. Phys. 152
(1993) 167-190.
17.
E.
Abdalla & M. Forger: Current Algebra of WZNW
Models at and away from Criticality. Mod. Phys.
Lett. A 7 (1992) 2437-2447.
18.
M.
Forger, J. Laartz & U. Schäper:
The Algebra of the Energy-Momentum Tensor and the Noether
Currents in Classical Non-Linear Sigma Models. Commun. Math. Phys. 159
(1994) 319-328.
19.
M.
Forger & J. Laartz: The Algebra of the
Energy-Momentum Tensor and the Noether Currents in
Off-Critical WZNW Models. Mod. Phys.
Lett. A 8 (1993) 803-809.
20.
M.
Forger: Recent Results on the Canonical Structure of Classical Non-Linear
Sigma Models. Resenhas
IME-USP 2 (1995) 115-137.
21. M. Forger & H. Römer: A Poisson Bracket on Multisymplectic Phase Space. Rep. Math. Phys. 48 (2001) 211-218; arXiv:math-ph/0009037v2.
22.
M.
Forger & A. Winterhalder: Dynamical R-Matrices
for Calogero Models. Nucl. Phys. B 621 [PM] (2002) 523-570 & 659 (2003) 461-462 (erratum); arXiv:hep-th/9912109.
23.
M.
Forger & A. Winterhalder: From Dynamical to
Numerical R-Matrices: A Case Study for the Calogero
Models. Nucl. Phys. B 667
[PM] (2003) 435-483; arXiv:hep-th/0212273.
24.
M.
Forger, C. Paufler & H. Römer:
A General Construction of Poisson Brackets on Exact Multisymplectic
Manifolds. Rep. Math. Phys. 51
(2003) 187-195; arXiv:math-ph/0208037.
25.
M.
Forger, C. Paufler & H. Römer:
The Poisson Bracket for Poisson Forms in Multisymplectic
Field Theory. Rev. Math. Phys. 15
(2003) 705-743; arXiv:math-ph/0202043.
26.
M.
Forger & H. Römer: Currents and the
Energy-Momentum Tensor in Classical Field Theory: A Fresh Look at an Old
Problem. Ann. Phys. 309
(2004) 306-389; arXiv:hep-th/0307199 & Erratum.
27.
M.
Forger & S.V. Romero: Covariant Poisson Brackets in Geometric Field
Theory. Commun. Math. Phys. 256
(2005) 375-410; arXiv:math-ph/0408008.
28. M. Forger, C. Paufler & H. Römer: Hamiltonian Multivector Fields and Poisson Forms in Multisymplectic Field Theory. J. Math. Phys. 46 (2005) 112903, 29 pp.; arXiv:math-ph/0407057.
29.
M.
Forger & B.L. Soares: Local Symmetries in Gauge Theories in a Finite-Dimensional Setting.
J. Geom. Phys. 62 (2012) 1925-1938; arXiv:0901.1636.
30.
M.
Forger & L.G. Gomes: Multisymplectic and Polysymplectic
Structures on Fiber Bundles. Rev. Math. Phys. 25 (2013) 1350018, 47pp.; arXiv:0708.1586v2.
31.
M.
Forger & S.Z. Yepes: Lagrangian Distributions and Connections in Multisymplectic
and Polysymplectic Geometry. Differ. Geom. Appl. 31 (2013) 775-807; arXiv:1202.5054.
32.
M.
Forger & M.O. Salles: On Covariant Poisson Brackets in Classical Field Theory. J. Math. Phys. 56 (2015) 102901, 26 pp.; arXiv:1501.03780.
33.
M.
Forger & D.V. Paulino: C*-Completions
and the DFR-Algebra. J. Math. Phys. 57 (2016) 023517, 31 pp.; arXiv:1412.3762v2.
Konferenzbeiträge [MP-C]:
Nur Beiträge zu internationalen Konferenzen aus eingeladenen Vorträgen sind
aufgeführt:
1.
M.
Forger: Instantons in Nonlinear Sigma Models, Gauge Theories and
General Relativity.
In: Differential Geometric Methods in Mathematical Physics (Proceedings
of the VIIth International Conference on Differential
Geometric Methods in Theoretical Physics, Clausthal,
Germany 1978), pp. 110-134, Ed.: H.D. Doebner;
Lecture Notes in Physics 139, Springer Verlag
1981.
2.
M.
Forger: Nonlinear Sigma Models on Symmetric Spaces. In: Nonlinear
Partial Differential Operators and Quantization Procedures (Proceedings, Clausthal, Germany 1981), pp. 38-80, Eds:
S.I. Andersson & H.D. Doebner;
Lecture Notes in Mathematics 1037, Springer Verlag
1983.
3.
M.
Forger: Nonlocal Conservation Laws for Nonlinear Sigma Models with Fermions.
In: Field Theory, Quantum Gravity and Strings (Proceedings, Paris-Meudon, France 1984/85), pp. 221-239, Eds:
H.J. de Vega & N. Sánchez; Lecture Notes in
Physics 246, Springer Verlag 1986.
4.
M.
Forger: Supersymmetric Sigma Models and Kähler Manifolds. In: Complex Differential Geometry
and Supermanifolds in Strings and Fields
(Proceedings of the 7th Scheveningen Conference, Scheveningen, Netherlands 1987), pp. 1-46, Eds: P.J.M. Bongaarts & R.
Martini; Lecture Notes in Physics 311, Springer Verlag
1988.
5.
M.
Forger: Solutions of the Yang-Baxter Equations from Field Theory. In: Differential
Geometric Methods in Theoretical Physics (Proceedings of the XVIIth International Conference on Differential Geometric Methods
in Theoretical Physics, Chester, England 1988), pp. 36-46, Ed.: A.I. Solomon;
World Scientific 1989.
6.
M.
Forger & A. Winterhalder: Dynamical R-Matrices
for the Calogero Models. In: Proceedings of the
Workshop on Integrable Theories, Solitons
and Duality, São Paulo, Brazil 2002, 13 pp.; JHEP Proceedings, erhältlich unter http://pos.sissa.it/archive/conferences/008/014/unesp2002_014.pdf
Eingereicht oder in Vorbereitung [MP-S]:
1.
M.
Forger & D.V. Paulino: Locally
C*-Algebras, C*-Bundles and Noncommutative Spaces, arXiv: 1307.4458, wird zur Veröffentlichung eingereicht.
2.
B.T.
Costa, M. Forger & L.H.P. Pêgas: Lie
Groupoids in Classical Field Theory I: Noether’s Theorem, arXiv:1508.04632, zur
Veröffentlichung eingereicht.
3.
B.T.
Costa, M. Forger & L.H.P. Pêgas: Lie
Groupoids in Classical Field Theory II: Gauge Theories, Minimal Coupling and
Utiyama’s Theorem, in Vorbereitung.
4.
M.
Forger, P.L. Ribeiro & S.J. Vidal: Globally Hyperbolic Differential Operators,
in Vorbereitung.
Gebiet: Biomathematik
Originalarbeiten in wissenschaftlichen Zeitschriften
[BM-P]:
1.
M.
Forger, Y.M.M. Hornos & J.E.M. Hornos: Global Aspects in the Algebraic Approach to the
Genetic Code. Phys. Rev. E 56
(1997) 7078-7082.
2.
J.E.M.
Hornos, Y.M.M. Hornos &
M. Forger: Symmetry and Symmetry Breaking: An Algebraic Approach to the
Genetic Code. Int. J. Mod. Phys.
B 13 (1999) 2795-2885.
3.
M.
Forger & S. Sachse: Lie Superalgebras
and the Multiplet Structure of the Genetic Code I: Codon Representations. J. Math. Phys. 41
(2000) 5407-5422; math-ph/9808001.
4.
M.
Forger & S. Sachse: Lie Superalgebras
and the Multiplet Structure of the Genetic Code II:
Branching Schemes. J. Math. Phys. 41
(2000) 5423-5444; math-ph/9905017.
5.
F.
Antoneli, L. Braggion, M.
Forger & J.E.M. Hornos: Extending the Search
for Symmetries in the Genetic Code. Int. J.
Mod. Phys. B 17 (2003) 3135-3204.
6.
J.E.M.
Hornos, L. Braggion, M. Magini & M. Forger: Symmetry Preservation in the
Evolution of the Genetic Code. IUBMB Life 56
(2004) 125-130.
7.
F.
Antoneli, M. Forger & J.E.M. Hornos:
The Search for Symmetries in the Genetic Code: Finite Groups. Mod. Phys. Lett. B 18
(2004) 971-978.
8.
F.
Antoneli, M. Forger, P.A. Gaviria
& J.E.M. Hornos: On Amino Acid and Codon Assignment in Algebraic Models for the Genetic Code. Int. J. Mod. Phys.
B 24 (2010) 435-463.
9.
A.F.
Ramos, G.C.P. Innocentini, M. Forger & J.E.M. Hornos: Symmetry in
Biology: From the Genetic Code to Stochastic Gene Regulation. IET Syst. Biol. 4 (2010) 311-329.
10.
F.
Antoneli & M. Forger: Symmetry Breaking in the Genetic Code: Finite Groups. Math. Comput. Model. 53
(2011) 1469-1488.
11.
G.C.P.
Innocentini, M. Forger, O. Radulescu
& J.E.M. Hornos: Multimodality and Flexibility of Stochastic Gene Expression. Bull. Math. Biol. 75 (2013) 2600-2630.
12.
G.C.P.
Innocentini, M. Forger, O. Radulescu
& F. Antoneli: Protein Synthesis Driven by Dynamical Stochastic Transcription. Bull. Math. Biol. 78 (2016) 110-131; arXiv:1406.3089v3.
Eingereicht oder in Vorbereitung [BM-S]:
1.
M.
Forger & P.A. Gaviria: Maximal Subgroups of Compact Lie Groups and Symmetry Breaking in the
Genetic Code, in Vorbereitung.
Gebiet: Finanzmathematik
Eingereicht oder in Vorbereitung:
1.
M.
Forger: Saldo Capitalizável e Saldo Não Capitalizável: Novos Algoritmos para
o Regime de Juros Simples (Kapitalisierender und Nicht Kapitalisierender
Bilanzstand: Neue Algorithmen für das Regime Einfacher Zinsen), in portugiesischer Sprache, Preprint RT-MAP-0905,
IME-USP, Oktober 2009, registriert bei der Stiftung Nationalbibliothek unter
no. 485.462, wird zur Veröffentlichung eingereicht.
2.
M.
Forger: Algoritmos para o Sistema de
Amortização Crescente (SACRE) (Algorithmen für das System Zunehmender
Amortisation (SACRE)), in portugiesischer Sprache, Preprint RT-MAP-1001,
IME-USP, April 2010, registriert bei der Stiftung Nationalbibliothek unter no.
518.006, wird zur Veröffentlichung eingereicht.
Dissertationen
1.
M.
Forger: Relativistische Wellengleichungen für Massive und Masselose Teilchen,
Diplomarbeit, Freie Universität Berlin (1974).
2.
M.
Forger: Differentialgeometrische Methoden in Nichtlinearen Sigma-Modellen
und Eichtheorien, Inaugural-Dissertation, Freie Universität Berlin (1980).
Bücher
1.
H.
Römer & M. Forger: Elementare Feldtheorie - Elektrodynamik, Hydrodynamik,
Spezielle Relativitätstheorie, VCH Verlagsgesellschaft, Weinheim 1993.