query: $H^*(\mathbb{G}(k,n))$ free with basis the partitions that index the Schubert varieties
positive_passages.docid: 116934
positive_passages.text: How to show that the cohomology of a Grassmannian has a basis consisting of the equivalent classes represented by Schubert cycles?
negative_passages.docid: 158142
negative_passages.text: Total space of a finite rank locally free sheaf, Vakil's 17.1.4 & 17.1.G
negative_passages.docid: 55070
negative_passages.text: Fundamental group of complement of $n$ lines through the origin in $\mathbb{R}^3$
negative_passages.docid: 69398
negative_passages.text: Rank-nullity theorem for free $\mathbb Z$-modules
negative_passages.docid: 115414
negative_passages.text: Lie Algebra of $SL_n(\mathbb H)$
negative_passages.docid: 110217
negative_passages.text: $GL(n,K)$ is open in $M(n,K)$
negative_passages.docid: 29269
negative_passages.text: fundamental group of $GL^{+}_n(\mathbb{R})$
negative_passages.docid: 24191
negative_passages.text: Computing the cohomology group of CW-Complex
negative_passages.docid: 68128
negative_passages.text: Two term free resolution of an abelian group.
negative_passages.docid: 147746
negative_passages.text: Characterisation of the squares of the symmetric group
negative_passages.docid: 130937
negative_passages.text: Embeddings of finite groups into $\mathrm{GL}_n(\mathbb{Z})$
negative_passages.docid: 132653
negative_passages.text: How to show that $\mathfrak{sl}_n(\mathbb{R})$ and $\mathfrak{sl}_n(\mathbb{C})$ are simple?
negative_passages.docid: 73458
negative_passages.text: Double cover of $GL(n,\mathbb{C})$.
negative_passages.docid: 120594
negative_passages.text: $\mathbb Z[i]/ \langle 1+2i \rangle \cong \mathbb Z_5$
negative_passages.docid: 101179
negative_passages.text: Partition of a set and Hall's theorem
negative_passages.docid: 108271
negative_passages.text: Characteristic map of a n-cell in a CW complex
negative_passages.docid: 38130
negative_passages.text: Complex structure on $\mathbb{C}\mathbb{P}^2\# \dots \# \mathbb{C}\mathbb{P}^2$