1. CJM Online first
|Moduli Spaces of Vector Bundles over a Real Curve: $\mathbb Z/2$-Betti Numbers|
Moduli spaces of real bundles over a real curve arise naturally as Lagrangian submanifolds of the moduli space of semi-stable bundles over a complex curve. In this paper, we adapt the methods of Atiyah-Bott's ``Yang-Mills over a Riemann Surface'' to compute $\mathbb Z/2$-Betti numbers of these spaces.
Keywords:cohomology of moduli spaces, holomorphic vector bundles
2. CJM 2001 (vol 53 pp. 73)
|Stratification Theory from the Weighted Point of View |
In this paper, we investigate stratification theory in terms of the defining equations of strata and maps (without tube systems), offering a concrete approach to show that some given family is topologically trivial. In this approach, we consider a weighted version of $(w)$-regularity condition and Kuo's ratio test condition.
Categories:32B99, 14P25, 32Cxx, 58A35