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作者:Antonio Alarcón , Ildefonso Castro-Infantes
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.571-590MSP
摘要:In this paper we prove that, given an open Riemann surface $M$ and aninteger $n\ge 3$, the set of complete conformal minimal immersions$M\to\mathbb{R}^n$ with $\bar{X(M)}=\mathbb{R}^n$ forms a dense subset in thespace of all conformal minimal immersions $M\to\mathbb{R}^n$ endowed...
作者:Huijun Fan , Tyler Jarvis , Yongbin Ruan
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.235-303MSP
摘要:We construct a mathematical theory of Witten's Gauged Linear Sigma Model(GLSM). Our theory applies to a wide range of examples, including manycases with nonabelian gauge group.Both the Gromov--Witten theory of a Calabi--Yau complete intersection $X$and theLandau--Ginzburg dual (F...
作者:Alexander Lytchak , Stefan Wenger
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.591-644MSP
摘要:We study the intrinsic structure of parametric minimal discsin metric spaces admitting a quadratic isoperimetric inequality.We associate to each minimal disca compact, geodesic metric space whose geometric, topological, andanalytic properties are controlled by the isoperimetric i...
作者:Camille Horbez
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.105-156MSP
摘要:We prove central limit theorems for the random walks on eitherthe mapping class group of a closed, connected, orientable,hyperbolic surface, or on $\operatorname{Out}(F_N)$, each time under afinite second moment condition on the measure (either with respectto the Teichm{\"u}ller ...
作者:Michael Kapovich , Bernhard Leeb , Joan Porti
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.157-234MSP
摘要:For noncompact semisimple Lie groups $G$with finite center,we study the dynamics of the actions of their discrete subgroups$\Gamma...
作者:Cormac Walsh
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.55-104MSP
摘要:We show that a cone admits a gauge-reversing map if and only ifit is a symmetric cone.We use this to prove that every isometry of a Hilbert geometryis a projectivity unless the Hilbert geometry is the projective spaceof a non-Lorentzian symmetric cone,in which case the projectivi...
作者:William Meeks , Giuseppe Tinaglia
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.305-322MSP
摘要:We prove a chord arc type bound fordisks embedded in $\mathbb{R}^3$ with constant mean curvature thatdoes not depend on the value of the mean curvature. This bound isinspired by andgeneralizes the weak chord arc bound of Colding and Minicozziin Proposition 2.1 of~\href{10.4007/an...
作者:Georg Oberdieck
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.323-437MSP
摘要:\advance\parskip4pt\advance\leftskip10pt\advance\rightskip10ptWe study the enumerative geometry of rational curveson the Hilbert schemes of points of a K3 surface.Let $S$ be a K3 surface and let $\mathsf{Hilb}^d(S)$ be the Hilbert scheme of $d$points of~ $S$.In the case of ellipt...
作者:Brett Parker
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.1-54MSP
摘要:This paper extends de Rham theory of smooth manifolds to explodedmanifolds. Included are versions of Stokes' theorem, de Rham cohomology,Poincar\'e duality, and integration along the fiber. The resulting de Rhamcohomology theory of exploded manifolds is usedin a separate paper(\h...
作者:Laurenţiu Maxim , Jörg Schürmann
来源:[J].Geometry & Topology(IF 0.974), 2017, Vol.22 (1), pp.471-515MSP
摘要:We obtain refined generating series formulae forequivariant characteristic classes of external and symmetric products ofsingular complex quasiprojective varieties. More concretely, we studyequivariant versions of Todd, Chern and Hirzebruch classes for singularspaces, with values ...

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