WebTeichmuller spaces parametrize this collection of structures. 2 Teichmuller Spaces: Two Perspectives. We’ll give two descriptions of Teichmller spaces and prove that they … Webonly one set. This signature structure corresponds to a signature in which all multiplicities are equal. In this case, S(r) is the full symmetric group. 2. If s = «, then r = (0, 1, • • -, «), so …

Introduction to Teichmu¨ller Theory - UC Davis

WebJun 3, 2024 · RAY STRUCTURES ON TEICHMÜLLER SPACE. June 2024; ... We first depict harmonic map ray structures on Teichmüller space as a geometric transition between … WebWe first depict harmonic map ray structures on Teichmüller space as a geometric transition between Teichmüller ray structures and Thurston geodesic ray structures. In particular, … dusty minnick lexington ky

TEICHMÜLLER SPACES AND REPRESENTABILITY OFFUNCTORSi1)

WebMay 17, 2024 · Idea. The Teichmüller space 𝒯 Σ \mathcal{T}_{\Sigma} of a 2-dimensional manifold Σ \Sigma is the moduli space of complex structures on Σ \Sigma, where two … Weba complex structure in the manner described above. If N(f) = 0, we say that f is integrable. Thus, f is integrable if and only if f arises from a complex structure. If X is a C? 2-manifold, then every almost complex structurefon M is integrable. Thus, if W denotes the space of complex structures on X, then there is a bijective WebTeichmuller space can be defined as the set of marked hyperbolic surfaces up to equivalence, where ( X, f) ∼ ( Y, g) if g f − 1 is homotopic to an isometry. What needs to be … dusty miller workshop britan