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  • Articles: DFG German National Licenses  (2)
  • 1995-1999  (2)
  • 1990-1994
  • Casson invariants  (1)
  • Engineering  (1)
  • 1
    Electronic Resource
    Electronic Resource
    Seiberg--Witten Monopoles in Three Dimensions (1997)
    Springer
    Letters in mathematical physics 39 (1997), S. 213-228 
    Details
    ISSN: 1573-0530
    Keywords: Seiberg--Witten monopoles ; Casson invariants ; topological Lagrangians.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Dimensional reduction of the Seiberg--Witten equations leads to the equations of motion of a U(1) Chern--Simons theory coupled to a massless spinorial field. A topological quantum field theory is constructed for the moduli space of gauge equivalence classes of solutions of these equations. The Euler characteristic of the moduli space is obtained as the partition function which yields an analogue of Casson's invariant.A mathematically rigorous definition of the invariant isdeveloped for homology spheres using the theory of spectral flow ofself-adjoint Fredholm operators.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007319915035
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    A statistical mechanical model of solidification (1995)
    Chichester : Wiley-Blackwell
    Communications in Numerical Methods in Engineering 11 (1995), S. 805-812 
    Details
    ISSN: 1069-8299
    Keywords: solidification ; dendritic growth ; probabilistic modelling ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mathematics , Technology
    Notes: A model of solidification is developed from a statistical mechanics basis that incorporates nucleation of columnar and equiaxed grains, thermal and solute diffusion, and latent heat of the phase change. The model is applied to the solidification of austenitic steel. The dendritic growth of columnar and equiaxed grains is simulated, including the segregation of solute ahead of the solid-liquid interface. The irregular branched morphology of the solid forms in a manner analogous to dendritic morphologies that arise from constitutional undercooling in real materials. There is competition between columnar and equiaxed growth. When growing grains approach, the solute layer and the thermal field act to prevent them overlapping.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/cnm.1640111004
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    Paper (German National Licenses)
    Fulltext
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