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In differential topology, Morse theory enables one to analyze the topology of a manifold by studying differentiable functions on that manifold.

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Bialynicki-Birula decomposition for real analytic varieties

Let $X$ be a smooth complex algebraic variety endowed with a $\mathbb{C}^*$ action. We assume also to have an antiholomorphic involution $\sigma$ over $X$ such that it anticommutes with the action abo …
Tommaso Scognamiglio's user avatar