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arXiv · 1905.03047

Universal spaces of parameters for complex Grassmann manifolds $G_{q+1,2}$

Nikita Klemyatin
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Abstract

Buchstaber and Terzic introduced a notion of universal space of parameters $\mathcal{F}$ for a manifold $M^{2n}$, which has an effective action of compact torus $T^k$ , $k \leq n$ with some additional properties. with special properties. This space is needed to construction of factor $M^{2n}/T^k$. Buchstaber and Terzic constructed the universal space of parameters for $G_{5,2}$. In this work we construct universal space of parameters for complex Grassmann manifold $G_{q+1,2}$. Our construction is based on the construction of moduli space of stable curves of genus zero with $q+1$ marked points due to Salamon, McDuff and Hofer.

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Nikita Klemyatin. 2019-05-08. Universal spaces of parameters for complex Grassmann manifolds $G_{q+1,2}$. https://arxiv.org/abs/1905.03047

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