D. Arnold, R. Falk, and R. Winther, Finite element exterior calculus, homological techniques, and applications, Acta Numerica, vol.15, pp.1-155, 2006.

V. Arnold and B. Khesin, Topological Methods in Hydrodynamics, vol.125, 1998.

M. Birman and M. Solomyak, L 2 -theory of the Maxwell operator in arbitrary domains, Russian Math. Surveys, vol.42, pp.75-96, 1987.

R. Bott and L. Tu, Differential Forms in Algebraic Topology, 1982.

A. Buffa, Hodge decompositions on the boundary of a polyhedron: The multiconnected case, Math. Mod. Meth. Appl. Sci, vol.11, pp.1491-1504, 2001.

, Traces theorems on non-smmoth boundaries for functional spaces related to Maxwell equations: An overwiew, Lecture Notes in Computational Science and Engineering, vol.28, pp.23-34, 2003.

A. Buffa and P. Ciarlet, On traces for functional spaces related to Maxwell's equations. Part I: An integration by parts formula in Lipschitz polyhedra, Math. Meth. Appl. Sci, vol.24, pp.9-30, 2001.

, On traces for functional spaces related to Maxwell's equations. Part II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications, Math. Meth. Appl. Sci, vol.24, pp.31-48, 2001.

A. Buffa, M. Costabel, and D. Sheen, On traces for H(curl, ?) in Lipschitz domains, J. Math. Anal. Appl, vol.276, pp.845-867, 2002.

H. Cartan, B. Differentialformen, and . Institut, , 1974.

S. Chandrasekhar and P. Kendall, On force-free magnetic fields, Astrophysical Journal, vol.126, pp.457-460, 1957.

J. Crager and P. Kotiuga, Cuts for the magnetic scalar potential in knotted geometries and force-free magnetic fields, IEEE Trans. Magnetics, vol.38, pp.1309-1312, 2002.

G. De-rham, Differentiable manifolds. Forms, currents, harmonic forms, Grundlehren der Mathematischen Wissenschaften, vol.266, 1984.

W. Everitt and L. Markus, Complex symplectic geometry with applications to ordinary differential equations, vol.351, pp.4905-4945, 1999.

, Complex symplectic spaces and boundary value problems, Elliptic Partial Differential Operators and Symplectic Algebra, vol.42, pp.461-500, 2003.

H. Federer, of Grundlehren der mathematischen Wissenschaften, Geometric Measure Theory, vol.153, 1969.

P. Gross and P. Kotiuga, Electromagnetic Theory and Computation: A Topological Approach, vol.48, 2004.

R. Hiptmair, Finite elements in computational electromagnetism, Acta Numerica, vol.11, pp.237-339, 2002.

A. Jette, Force-free magnetic fields in resistive magnetohydrostatics, J. Math. Anal. Appl, vol.29, pp.109-122, 1970.

P. Kotiuga, On making cuts for magnetic scalar potentials in multiply connected regions, J. Appl. Phys, vol.61, pp.3916-3918, 1987.

, Helicity functionals and metric invariance in three dimensions, IEEE Trans. Magnetics, p.25, 1989.

, Topological duality in three-dimensional eddy-current problems and its role in computeraided problem formulation, J. Appl. Phys, vol.9, pp.4717-4719, 1990.

, Sparsity vis a vis Lanczos methods for discrete helicity functionals, Proceedings of the 3rd International Workshop on Electric and Magnetic Fields, pp.333-338, 1996.

, Topology-based inequalities and inverse problems for near force-free magnetic fields, IEEE. Trans. Magnetics, vol.40, pp.1108-1111, 2004.

S. Lundquist, Magneto-hydrostatic fields, Ark. Fysik, vol.2, pp.361-365, 1950.

W. Massey, Algebraic topology: An introduction, vol.56, 1997.

D. Mcduff and D. Salamon, Introduction to symplectic topology, Oxford Mathematical Monographs, 1995.

C. Morrey, of Grundlehren der mathematischen Wissenschaften, Multiple integrals in the calculus of variations, vol.130, 1966.

L. Paquet, Problemes mixtes pour le systeme de Maxwell, Ann. Fac. Sci. Toulouse, V. Ser, vol.4, pp.103-141, 1982.

R. Picard, Ein Randwertproblem in der Theorie kraftfreier Magnetfelder, Z. Angew. Math. Phys, vol.27, pp.169-180, 1976.

, An elementary proof for a compact imbedding result in generalized electromagnetic theory, Math. Z, vol.187, pp.151-161, 1984.

, Uber kraftfreie Magnetfelder, vol.45, pp.14-17, 1996.

, On a selfadjoint realization of curl and some of its applications, Riceche di Matematica, pp.153-180, 1998.

, On a selfadjoint realization of curl in exterior domains, Mathematische Zeitschrift, vol.229, pp.319-338, 1998.

W. Rudin, Functional Analysis, McGraw-Hill, 1973.

C. Weber, A local compactness theorem for Maxwell's equations, Math. Meth. Appl. Sci, vol.2, pp.12-25, 1980.

J. Weidmann, Linear Operators in Hilbert spaces, Graduate Texts in Mathematics, vol.68, 1980.

Z. Yoshida and Y. Giga, Remarks on spectra of operator rot, Math. Z, vol.204, pp.235-245, 1990.

K. Yosida, Functional Analysis, 1980.