Topology of the orbit space of a maximal torus action on $\operatorname{Gr}(2,\mathbb{C}^{5})$

Shahryar Ghaed Sharaf

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arXiv · 2607.19025

Topology of the orbit space of a maximal torus action on $\operatorname{Gr}(2,\mathbb{C}^{5})$

Shahryar Ghaed Sharaf

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Abstract

In this work, we take a topological approach and introduce a homotopy model of the orbit space of a maximal torus action on $\operatorname{Gr}(2, \mathbb{C}^{5})$. Using this homotopy model, we compute the integral homology groups and study the homotopy type of the orbit space. More precisely, we endow the homotopy model with a CW complex that contains one top cell and determine the homotopy class of the attaching map of the top cell of the orbit space.

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Shahryar Ghaed Sharaf. 2026-07-21. Topology of the orbit space of a maximal torus action on $\operatorname{Gr}(2,\mathbb{C}^{5})$. https://arxiv.org/abs/2607.19025

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