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A new proof of
the $\lambda_g$ conjecture in genus 2
Taylor Rogers and Renzo Cavalieri |
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Vol. 17 (2024), No. 3, 465–479
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Abstract |
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We give a new proof of the conjecture in genus . We use a description of the class as a linear combination of boundary strata and show the conjecture follows inductively from applications of the projection formula, string equation, and dilaton equation. |
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Keywords
moduli, Hodge integrals, $\lambda_g$ conjecture,
tautological classes
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Mathematical Subject Classification
Primary: 14H10, 14N35
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Milestones
Received: 30 November 2022
Revised: 10 March 2023
Accepted: 16 March 2023
Published: 17 July 2024
Communicated by Michael Jablonski
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Authors |
| Taylor Rogers | |
| Colorado State University Fort Collins, CO United States |
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| Renzo Cavalieri | |
| Colorado State University Fort Collins, CO United States |
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| © 2024 MSP (Mathematical Sciences Publishers). |
