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  • Articles  (3)
  • Key words: Symmetric game, stable core, lower boundary, specified vectors  (1)
  • quantization  (1)
  • three manifold  (1)
  • Minisuperspace
  • 2000-2004  (3)
  • 1970-1974
  • 1965-1969
  • Mathematics  (3)
Collection
  • Articles  (3)
Source
Keywords
Publisher
Years
  • 2000-2004  (3)
  • 1970-1974
  • 1965-1969
Year
Topic
  • 1
    Electronic Resource
    Electronic Resource
    Flat Partial Connections on a Three Manifold Equipped with a Codimension One Foliation (2000)
    Springer
    Geometriae dedicata 80 (2000), S. 65-72 
    Details
    ISSN: 1572-9168
    Keywords: three manifold ; flat connection ; foliation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Given a compact connected oriented three manifold, equipped with a codimension one foliation, such that the Bott connection on the normal bundle is flat, a 2-form on the space parametrizing flat partial connections on it has been constructed. This form is closed. In the special case where the foliated three manifold is a surface bundle over the circle, this 2-form is identified with a certain 2-form on the parameter space for a class of paths in the representation space for the surface group. The 2-form, in question, on the parameter space for paths is constructed from the natural symplectic form on the representation space for a surface group.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1005219731791
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  • 2
    Electronic Resource
    Electronic Resource
    A Quantization on Riemann Surfaces with Projective Structure (2000)
    Springer
    Letters in mathematical physics 54 (2000), S. 73-82 
    Details
    ISSN: 1573-0530
    Keywords: projective structure ; symplectic structure ; quantization ; Moyal–Weyl algebra
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Physics
    Notes: Abstract Let X be a Riemann surface equipped with a projective structure. Let $$\mathcal{L}$$ be a square-root of the holomorphic cotangent bundle K X . Consider the symplectic form on the complement of the zero section of $$\mathcal{L}$$ obtained by pulling back the symplectic form on K X using the map ν ↦ ν⊗2. We show that this symplectic form admits a natural quantization. This quantization also gives a quantization of the complement of the zero section in K X equipped with the natural symplectic form.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007650202446
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  • 3
    Electronic Resource
    Electronic Resource
    Stability and largeness of core for symmetric games (2000)
    Springer
    International journal of game theory 29 (2000), S. 11-22 
    Details
    ISSN: 1432-1270
    Keywords: Key words: Symmetric game, stable core, lower boundary, specified vectors
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics , Economics
    Notes: Abstract. Largeness of the core is sufficient for stability of the core. In general the necessity is not known. In this paper we answer affirmatively the necessity for symmetric games. We also prove its equivalence to n specified vectors being imputations and also to the convexity of the lower boundary of the set of all acceptable pay-off vectors of the game. In this paper we establish the equivalence of a condition given by Shapley to the newly evolved condition, thereby give an alternate proof to Shapley’s condition.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s001820050002
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