Szabó, Szilárd (2023) Hitchin WKB-problem and P = W conjecture in lowest degree for rank 2 over the 5-punctured sphere. QUARTERLY JOURNAL OF MATHEMATICS. ISSN 0033-5606
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Official URL: https://doi.org/10.1093/qmath/haac037
Abstract
We use abelianization of Higgs bundles away from the ramification divisor and fiducial solutions to analyze the large-scale behavior of Fenchel–Nielsen co-ordinates on the moduli space of rank 2 Higgs bundles on the Riemann sphere with five punctures. We solve the related Hitchin WKB problem and prove the lowest degree weighted pieces of the P = W conjecture in this case.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 03 Apr 2023 08:00 |
| Last Modified: | 03 Apr 2023 08:00 |
| URI: | http://real.mtak.hu/id/eprint/163248 |
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