Horocycle dynamics new invariants and eigenform loci in the stratum H(1, 1) / Matt Bainbridge, John Smillie, Barak Weiss.
| Author/creator | Bainbridge, Matt |
| Format | Electronic |
| Publication Info | Providence, RI : American Mathematical Society, [2022] |
| Description | v, 100 pages ; 26 cm. |
| Supplemental Content | Full text available from Ebook Central - Academic Complete |
| Subjects |
| Series | Memoirs of the American Mathematical Society ; number 1384 |
| Abstract | "We study dynamics of the horocycle flow on strata of translation surfaces, introduce new invariants for ergodic measures, and analyze the interaction of the horocycle flow and real Rel surgeries. We use this analysis to complete and extend results of Calta and Wortman classifying horocycle-invariant measures in the eigenform loci. In addition we classify the horocycle orbit-closures and prove that every orbit is equidistributed in its orbit-closure. We also prove equidistribution results describing limits of sequences of measures. Our results have applications to the problem of counting closed trajectories on translation surfaces of genus 2"-- Provided by publisher. |
| Bibliography note | Includes bibliographical references (pages 95-98) and index. |
| Access restriction | Available only to authorized users. |
| Technical details | Mode of access: World Wide Web |
| Genre/form | Electronic books. |
| LCCN | 2022048374 |
| ISBN | 9781470455392 (paperback) |
| ISBN | (epub) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |