Wissenschaftliche Veröffentlichungen
Prof. Dr. Michael Forger
Stand: April 2012
Gebiet: Mathematik
Originalarbeiten in wissenschaftlichen Zeitschriften:
1.
M.
Forger: Invariant Polynomials and Molien Functions. J. Math. Phys. 39
(1998) 1107-1141.
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.
Zur Veröffentlichung angenommen:
2.
F.
Antoneli, M. Forger & P.A. Gaviria: Maximal
Subgroups of Compact Lie Groups; arXiv:math/0605784v3, erscheint in Journal of Lie Theory
22 (2012).
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; math-ph/0009037.
22.
M.
Forger & A. Winterhalder: Dynamical R-Matrices for Calogero Models. Nucl. Phys. B 621 [PM] (2002) 523-570 & 659 (2003) 461-462 (erratum); 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; 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; 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; 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; hep-th/0307199. & Erratum.
27.
M.
Forger & S.V. Romero: Covariant Poisson Brackets in Geometric Field
Theory. Commun. Math. Phys. 256
(2005) 375-410; 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.; math-ph/0407057.
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 & L.G. Gomes: Multisymplectic
and Polysymplectic Structures on Fiber Bundles, Preprint RT-MAP-0702,
IME-USP, Dezember 2007, arXiv:0708.1586v2, zur
Veröffentlichung eingereicht.
2.
M.
Forger & M.O. Salles: Hamiltonian
Vector Fields on Multiphase Spaces of Classical Field Theory, Preprint RT-MAP-0802,
IME-USP, Februar 2008, arXiv:1010.0337v1, wird zur Veröffentlichung eingereicht.
3.
M.
Forger & B.L. Soares: Local
Symmetries in Gauge Theories in a Finite-Dimensional Setting, Preprint RT-MAP-0901,
IME-USP, Januar 2009, arXiv:0901.1636v1, zur Veröffentlichung eingereicht.
4.
M.
Forger & D.V. Paulino: The
DFR-Algebra for Poisson Vector Bundles, Preprint RT-MAP-1201, IME-USP, Januar 2012, arXiv:1201.1583v1, wird
zur Veröffentlichung eingereicht.
5.
M.
Forger & S.Z. Yepes: Lagrangian
Distributions and Connections in Symplectic Geometry, Preprint RT-MAP-1202, IME-USP, Februar 2012, arXiv:1202.5054v1, zur Veröffentlichung eingereicht.
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.
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,
em preparação.
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.
1.
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.