Top network posts

• 10 How to compute cellular homology of a handle decomposition $D^m\cup H^{\gamma_1}\cup\dots\cup H^{\gamma_N}$
• 8 How does one complexify a real $n$-dimensional Riemannian manifold $(M,g)$?
• 7 How do we compute homology from the nerve $\text{Nrv}(\Sigma)$ for $\Sigma=\{S^n,\dots,S^n\}$ covering the CW complex $M$?
• 5 Show that the rational cohomology ring $H^*(M;\mathbb{Q})$ needs at least two generators
• 5 What are the simply-connected non-compact irreducible symmetric spaces?
• 5 How to compute Čech homology and Mayer-Vietoris sequence upon passing a critical point of the energy functional of free loop space as a CW complex?
• 5 What is the free loop space $\mathcal{L}M$ of a manifold of a manifold $M$ for which the energy functional has no critical points?
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