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Search: MSC category 14P25 ( Topology of real algebraic varieties )

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1. CJM 2014 (vol 66 pp. 961)

Baird, Thomas
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
Categories:32L05, 14P25

2. CJM 2001 (vol 53 pp. 73)

Fukui, Toshizumi; Paunescu, Laurentiu
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

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