منابع مشابه
Antiperfect Morse Stratification Nan-kuo Ho and Chiu-chu
For an equivariant Morse stratification which contains a unique open stratum, we introduce the notion of equivariant antiperfection, which means the difference of the equivariant Morse series and the equivariant Poincaré series achieves the maximal possible value (instead of the minimal possible value 0 in the equivariantly perfect case). We also introduce a weaker condition of local equivarian...
متن کاملConnected Components of Spaces of Surface Group Representations Ii Nan-kuo Ho and Chiu-chu
In [HL1], we discussed the connected components of the space of surface group representations for any compact connected semisimple Lie group and any closed compact (orientable or nonorientable) surface. In this sequel, we generalize the results in [HL1] in two directions: we consider general compact connected Lie groups, and we consider all compact surfaces, including the ones with boundaries. ...
متن کاملYang-mills Connections on Orientable and Nonorientable Surfaces Nan-kuo Ho and Chiu-chu
In [HL4] we study Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group. In this sequel, we generalize the discussion in [AB] and [HL4]. We obtain explicit descriptions (as representation varieties) of Morse strata of Yang-Mills functional on orientable and nonorientable surfaces fo...
متن کاملYang-mills Connections on Nonorientable Surfaces Nan-kuo Ho and Chiu-chu
In [AB], Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. We generalize their study to all closed, compact, connected, possibly nonorientable surfaces.
متن کاملConnected Components of the Space of Surface Group Representations Nan-kuo Ho and Chiu-chu
Let G be a connected, compact, semisimple Lie group. It is known that for a compact closed orientable surface Σ of genus l > 1, the order of the group H(Σ, π1(G)) is equal to the number of connected components of the space Hom(π1(Σ), G)/G which can also be identified with the moduli space of gauge equivalence classes of flat G-bundles over Σ. We show that the same statement for a closed compact...
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ژورنال
عنوان ژورنال: Harvard Journal of Asiatic Studies
سال: 1986
ISSN: 0073-0548
DOI: 10.2307/2719080