The Goldman Symplectic Form on the $/operatorname {PGL}(V)$-Hitchin Component

Zhe Sun, Tengren Zhang (Autoren)

Buch | Softcover

88 Seiten

2025
American Mathematical Society (Verlag)
978-1-4704-7588-8 (ISBN)

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Expanding the horizons of pure and applied mathematics, this publication compiles extended studies into cohesive groups of interrelated research. With rigorous editorial oversight and thorough peer-review, it offers an in-depth exploration of mathematical ideas and collaborative inquiry.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Zhe Sun, University of Science and Technology of China, Hefei, People's Republic of China. Tengren Zhang, National University of Singapore, Singapore.

1. Introduction
2. Features of Hitchin representations and the Hitchin component
3. Topological constructions
4. Tangent cocycles for the Hitchin component
5. The $(/mathcal {T},/mathcal {J})$-trivialization of $T/operatorname {Hit}_V(S)$
6. The $(/mathcal {T},/mathcal {J})$-trivialization of $/operatorname {Hit}_V(S)$ is symplectic
7. A symplectic basis of vector fields on $/operatorname {Hit}_V(S)$

Erscheinungsdatum	25.09.2025
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-7588-X / 147047588X
ISBN-13	978-1-4704-7588-8 / 9781470475888
Zustand	Neuware