Infinitesimal computations in topology
The density at infinity of a discrete group of hyperbolic motions
A counterexample to the periodic orbit conjecture
Cycles for the Dynamical Study of Foliated Manifolds and Complex Manifolds.
A Generalization of Milnor's Inequality Concerning Affine Foliations and Affine Manifolds
A homological characterization of foliations consisting of minimal surfaces.
Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension fibrées sur
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs
Using the algebraic theory of homotopies between maps of dga's we obtain a homotopy theory for algebraic structures defined by collections of multiplications and comultiplications. This is done by expressing these structures and resolved versions of them in terms of dga maps. This same homotopy theory of dga maps applies to extract invariants beyond homological periods from systems of moduli spaces that determine systems of chains that satisfy master equations like dX + X*X = 0. Minimal models of...
Variation of the Green function of Riemann surfaces and Whitney's holomorphic stratification conjecture
An analytic proof of Novikov's theorem on rational Pontrjagin classes
A formula for topology/deformations and its significance
The formula is , with ∂a + 1/2 [a,a] = 0 and ∂b + 1/2 [b,b] = 0, where a, b and e in degrees -1, -1 and 0 are the free generators of a completed free graded Lie algebra L[a,b,e]. The coefficients are defined by . The theorem is that ∙ this formula for ∂ on generators extends to a derivation of square zero on L[a,b,e]; ∙ the formula for ∂e is unique satisfying the first property, once given the formulae for ∂a and ∂b, along with the condition that the “flow” generated by e moves a to b in unit...
Wandering domains and invariant conformal structures for mappings of the 2-torus.
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