Thesis--University of Illinois. / Vita. "Musical examples" (leaves 298-428) contains the author's transcription in score format of 9 works by Hofer. Includes bibliographical references.

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Zugl.: München, Univ., Diss., 2009

Überarb. Diss. Univ. Innsbruck, 2003. / Verzeichnis der benützten Quellen und Literatur: S. 624-631.

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Inaug.-diss.--Munich. / Lebenslauf. "Quellennachweis": p. 10-12.

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京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第21541号 / 理博第4448号 / 新制||理||1639(附属図書館) / 京都大学大学院理学研究科数学・数理解析専攻 / (主査)教授 小野 薫, 教授 向井 茂, 教授 望月 拓郎 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DGAM

In the first paper, we prove that for a closed Legendrian submanifold L of dimension n>2 with a loose chart of size η, any Legendrian isotopy starting at L can be C0-approximated by a Legendrian isotopy with energy arbitrarily close to η/2. This in particular implies that the displacement energy of loose displaceable Legendrians is bounded by half the size of its smallest loose chart, which proves a conjecture of Dimitroglou Rizell and Sullivan. In the second paper, we show that the Legendrian lift of an exact, displaceable Lagrangian has vanishing Shelukhin-Chekanov-Hofer pseudo-metric by lifting an argument due to Sikorav to the contactization. In particular, this proves the existence of such Legendrians, providing counterexamples to a conjecture of Rosen and Zhang. After completion of the manuscript, we noticed that Cant (arXiv:2301.06205) independently proved a more general version of our main result.