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Mathematics

[5722] Quasiconformal 4-manifolds

S. K. Donaldson Mathematical Institute, St Giles, Oxford, England D. P. Sullivan I.H.E.S., Bures-sur-Yvette, Bures, France

TBD mathscidoc:1701.331727

Acta Mathematica, 163, (1), 181-252, 1989.1

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Tadeusz Iwaniec · Gaven Martin. Quasiregular mappings in even dimensions. 1993.

Iwaniec T, Lutoborski A. Integral estimates for null Lagrangians[J]. Archive for Rational Mechanics and Analysis, 1993, 125(1): 25-79.

Tadeusz Iwaniec. p-Harmonic tensors and quasiregular mappings. 1992.

P B Kronheimer · T S Mrowka. Gauge theory for embedded surfaces, II. 1993.

Donaldson S K. The Seiberg-Witten equations and 4-manifold topology[J]. Bulletin of the American Mathematical Society, 1996, 33(1): 45-70.

Scott C. LP THEORY OF DIFFERENTIAL FORMS ON MANIFOLDS[J]. Transactions of the American Mathematical Society, 1995, 347(6): 2075-2096.

Stephen Semmes. Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities. 1996.

Manfredi J J, Villamor E. Mappings with integrable dilatation in higher dimensions[J]. Bulletin of the American Mathematical Society, 1995, 32(2): 235-240.

Iwaniec T, Scott C E, Stroffolini B, et al. Nonlinear Hodge theory on manifolds with boundary[J]. Annali di Matematica Pura ed Applicata, 1999, 177(1): 37-115.

Tadeusz Iwaniec · Pekka Koskela · Gaven Martin. Mappings ofBMO-distortion and beltrami-type operators. 2002.

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[5723] Solving the quintic by iteration

Peter Doyle Princeton University, Princeton, NJ, USA Curt McMullen Princeton University, Princeton, NJ, USA

TBD mathscidoc:1701.331726

Acta Mathematica, 163, (1), 151-180, 1988.1

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Milnor J, Milnor, Lei T, et al. Geometry and Dynamics of Quadratic Rational Maps[J]. Experimental Mathematics, 1993, 2(1): 37-83.

Mcmullen C T. Frontiers in Complex Dynamics[J]. Bulletin of the American Mathematical Society, 1994, 31(2): 155-172.

Crass S. Solving the Sextic by Iteration: A Study in Complex Geometry and Dynamics[J]. Experimental Mathematics, 1999, 8(3): 209-240.

Gilbert W J. GENERALIZATIONS OF NEWTON\u0027S METHOD[J]. Fractals, 2011, 09(03): 251-262.

Sebbar A, Sebbar A. Equivariant functions and integrals of elliptic functions[J]. Geometriae Dedicata, 2011, 160(1): 373-414.

Buhler J, Reichstein Z. On Tschirnhaus Transformations[C]., 1999: 127-142.

Izumi M, Kajiwara T, Watatani Y, et al. KMS states and branched points[J]. Ergodic Theory and Dynamical Systems, 2007, 27(06): 1887-1918.

Shepler A V. Semi-invariants of Finite Reflection Groups[J]. Journal of Algebra, 1999, 220(1): 314-326.

Mcmullen C T. Braiding of the Attractor and the Failure of Iterative Algorithms[J]. Inventiones Mathematicae, 1988, 91(2): 259-272.

Crass S, Doyle P. Solving the sextic by iteration: A complex dynamical approach[J]. International Mathematics Research Notices, 1999, 1997(2): 83-99.

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[5724] Complex geometry of convex domains that cover varieties

Sidney Frankel Columbia University, New York, NY, USA

TBD mathscidoc:1701.331725

Acta Mathematica, 163, (1), 109-149, 1988.2

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Alexander Isaev · S G Krantz. DOMAINS WITH NON-COMPACT AUTOMORPHISM GROUP: A SURVEY. 1999.

Eric Bedford · S D Pinchuk. Domains in $\cx {n+1}$ with Noncompact Automorphism Group. II. 1992.

Kangtae Kim. Domains in C n with a piecewise Levi flat boundary which possess a noncompact automorphism group. 1992.

John Erik Fornaess · Nessim Sibony. Some open problems in higher dimensional complex analysis and complex dynamics. 2001.

Benson Farb · Shmuel Weinberger. Isometries, rigidity, and universal covers. 2005.

Kim K, Krantz S G. Characterization of the Hilbert ball by its automorphism group[J]. Transactions of the American Mathematical Society, 2002, 354(7): 2797-2818.

Bedford E, Pinchuk S. CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS[J]. Sbornik Mathematics, 1995, 82(1): 1-20.

Eric Bedford · S I Pinchuk. Domains in Cn+1 with noncompact automorphism group. 1991.

Yau S. Perspectives on geometric analysis[C]., 2006, 10(1): 275-379.

Byun J, Cho H R. Explicit description for the automorphism group of the Kohn-Nirenberg domain[J]. Mathematische Zeitschrift, 2008, 263(2): 295-305.

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Mathematics

[5722] Quasiconformal 4-manifolds

S. K. Donaldson Mathematical Institute, St Giles, Oxford, England D. P. Sullivan I.H.E.S., Bures-sur-Yvette, Bures, France

TBD mathscidoc:1701.331727

[5723] Solving the quintic by iteration

Peter Doyle Princeton University, Princeton, NJ, USA Curt McMullen Princeton University, Princeton, NJ, USA

TBD mathscidoc:1701.331726

[5724] Complex geometry of convex domains that cover varieties

Sidney Frankel Columbia University, New York, NY, USA

TBD mathscidoc:1701.331725

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