Cover Image

A topological proof of Wolpert's formula for the Weil-Petersson symplectic form in terms of the Fenchel-Nielsen coordinates

Fuente: arXiv

Saved in:

Bibliographic Details
Main Author:	Kawazumi, Nariya
Format:	Preprint
Published:	2024
Subjects:	Geometric Topology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Fenchel-Nielsen twist in terms of the cross ratio
by: Asaka, Takeru
Published: (2022)

Fenchel-Nielsen coordinates for SL(3,C) representations
by: Figueroa, Rodrigo Dávila, et al.
Published: (2023)

A high-genus asymptotic expansion of Weil-Petersson volume polynomials
by: Anantharaman, Nalini, et al.
Published: (2020)

Fenchel-Nielsen coordinates of the branch loci of cyclic actions
by: Bhattacharya, Atreyee, et al.
Published: (2025)

Critical Exponents on Hyperbolic Surfaces with Long Boundaries and the Asymptotic Weil-Petersson Form
by: Talbott, Henry
Published: (2025)

Infinite circle patterns in the Weil-Petersson class
by: Lam, Wai Yeung
Published: (2026)

Local rigidity of covering constructions and Weil--Petersson subvarieties of the moduli space of curves
by: Serván, Carlos A.
Published: (2025)

The complex hyperbolic form as a Weil-Petersson form
by: Wang, Xiangsheng
Published: (2022)

A tale of two volumes of moduli spaces: Weil-Petersson and Masur-Veech
by: Chen, Dawei, et al.
Published: (2026)

Borel actions in nonpositively curved geometry and the Nielsen realisation problem
by: Kremer, Christian
Published: (2025)

Homological Nielsen realization for the manifolds $\#_n \mathbb{CP}^2$
by: Pesikoff, Ethan
Published: (2026)

Constructions of symplectic forms on 4-manifolds
by: Lambert-Cole, Peter
Published: (2024)

Equivariant Poincaré duality for cyclic groups of prime order and the Nielsen realisation problem
by: Hilman, Kaif, et al.
Published: (2024)

Spectral gap with polynomial rate for Weil-Petersson random surfaces
by: Hide, Will, et al.
Published: (2025)

Infinite connected components of the space of symplectic forms on ruled surfaces
by: Lin, Jianfeng, et al.
Published: (2025)

Cyclic Nielsen realization for del Pezzo surfaces
by: Lee, Seraphina Eun Bi, et al.
Published: (2025)

Counting mapping classes by Nielsen-Thurston type
by: Dowdall, Spencer, et al.
Published: (2023)

A new proof of Milnor-Wood inequality
by: Panina, Gaiane, et al.
Published: (2024)

A new proof of the virtual Haken conjecture
by: Charitos, Charalampos
Published: (2025)

A simple proof of the Crowell-Murasugi theorem
by: Kindred, Thomas
Published: (2022)

Shear coordinates and braid invariants
by: Manturov, Vassily Olegovich
Published: (2025)

Dehn twists and the Nielsen realization problem for spin 4-manifolds
by: Konno, Hokuto
Published: (2022)

Surfaces proper homotopy equivalent to graphs and their Dehn-Nielsen-Baer maps
by: Dickmann, Ryan, et al.
Published: (2024)

On Nielsen equivalence classes of two-elements generators of mapping class groups
by: Hirose, Susumu, et al.
Published: (2025)

A projective resolution of the symplectic Steinberg module
by: Pal, Urshita
Published: (2026)

A Torres formula for twisted Reidemeister torsion
by: Seong, Peter Seokhee
Published: (2024)

A surgery formula for Seiberg-Witten invariants
by: Qiu, Haochen
Published: (2024)

Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups
by: Nosaka, Takefumi
Published: (2021)

Space of circle patterns on tori and its symplectic form
by: Lam, Wai Yeung
Published: (2024)

Dominating surface-group representations via Fock-Goncharov coordinates
by: Barman, Pabitra, et al.
Published: (2024)

Counting mapping class group orbits under shearing coordinates
by: Lu, Sicheng, et al.
Published: (2021)

A topological model for the HOMFLY-PT polynomial
by: Anghel, Cristina Ana-Maria, et al.
Published: (2024)

A Moebius inversion formula to discard tangled hyperbolic surfaces
by: Anantharaman, Nalini, et al.
Published: (2024)

Combinatorial formula for the $M$ invariant of magnetic lines
by: Akhmet'ev, Petr
Published: (2024)

A satellite formula for real Seiberg-Witten Floer homotopy types
by: Miyazawa, Jin, et al.
Published: (2025)

A note on the topology of Lefschetz fibrations
by: Knavel, Sierra
Published: (2025)

An embedding of skein algebras of surfaces into quantum tori from Dehn-Thurston coordinates
by: Detcherry, Renaud, et al.
Published: (2022)

A generalization of the Center Theorem of the Thurston-Wolpert-Goldman Lie algebra
by: Wakuda, Aoi
Published: (2024)

Thomassen's proof and Filippov's proof of the Weak Jordan Theorem
by: Klazar, Martin
Published: (2026)

SU(2) representations and a large surgery formula
by: Li, Zhenkun, et al.
Published: (2021)