Topology of $\mathbb{G}_m$-actions and applications to the moduli of Higgs bundles
We explain some results concerning the topology of varieties and stacks equipped with an action of the multiplicative group $\mathbb{G}_m$. We apply these techniques to the moduli of Higgs bundles. Our main application is to upgrade the cohomological Nonabelian Hodge Theorem in positive characterist...
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| creator | Herrero, Andres Fernandez Zhang, Siqing |
| description | We explain some results concerning the topology of varieties and stacks
equipped with an action of the multiplicative group $\mathbb{G}_m$. We apply
these techniques to the moduli of Higgs bundles. Our main application is to
upgrade the cohomological Nonabelian Hodge Theorem in positive characteristic
[dCGZ23, HZ23b] to an isomorphism of cohomology rings compatible with cup
product. |
| doi_str_mv | 10.48550/arxiv.2408.03275 |
| format | Article |
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equipped with an action of the multiplicative group $\mathbb{G}_m$. We apply
these techniques to the moduli of Higgs bundles. Our main application is to
upgrade the cohomological Nonabelian Hodge Theorem in positive characteristic
[dCGZ23, HZ23b] to an isomorphism of cohomology rings compatible with cup
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equipped with an action of the multiplicative group $\mathbb{G}_m$. We apply
these techniques to the moduli of Higgs bundles. Our main application is to
upgrade the cohomological Nonabelian Hodge Theorem in positive characteristic
[dCGZ23, HZ23b] to an isomorphism of cohomology rings compatible with cup
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equipped with an action of the multiplicative group $\mathbb{G}_m$. We apply
these techniques to the moduli of Higgs bundles. Our main application is to
upgrade the cohomological Nonabelian Hodge Theorem in positive characteristic
[dCGZ23, HZ23b] to an isomorphism of cohomology rings compatible with cup
product.</abstract><doi>10.48550/arxiv.2408.03275</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Algebraic Geometry |
| title | Topology of $\mathbb{G}_m$-actions and applications to the moduli of Higgs bundles |
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