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HODGE INTEGRALS AND HURWITZ NUMBERS VIA VIRTUAL LOCALIZATION
HODGE INTEGRALS HURWITZ NUMBERS
2015/7/14
We give another proof of Ekedahl, Lando, Shapiro, and Vainshtein's remarkable formula expressing Hurwitz numbers (counting covers of
P1 with speci ed simple branch points, and speci ed branching over...
RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES
VIRTUAL LOCALIZATION VANISHING
2015/7/14
We prove a localization formula for the moduli space of stable relative maps.
As an application, we prove that all codimension i tautological classes on the moduli space
of stable pointed curves van...
RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES
VIRTUAL LOCALIZATION VANISHING
2015/7/14
We prove a localization formula for the moduli space of stable relative maps.
As an application, we prove that all codimension i tautological classes on the moduli space
of stable pointed curves van...
On Virtual Crossing Numbers for Virtual Knots
Knot virtual knot graph crossing number parity
2011/9/20
Abstract: The aim of the present paper is to prove that the minimal number of virtual crossings for some families of virtual knots grows quadratically with respect to the minimal number of classical c...
A Generalization of Turaev's Virtual String Cobracket
Turaev's Virtual String Cobracket Geometric Topology
2011/9/19
Abstract: In a previous paper, we defined an operation $\mu$ that generalizes Turaev's cobracket for loops on a surface. We showed that, in contrast to the cobracket, this operation gives a formula fo...
Splitting broad beams into arrays of dissipative spatial solitons by material and virtual gratings
Splitting broad beams arrays dissipative spatial solitons material virtual gratings
2010/11/10
We elaborate two generic methods for producing two-dimensional (2D) spatial soliton arrays (SSAs) in the framework of the cubic-quintic (CQ) complex Ginzburg-Landau (CGL) model. The first approach de...
Virtual boundaries of Hadamard spaces with admissible actions of higher rank
Hadamard spaces math
2010/11/19
Any discrete action of a group on a locally compact Hadamard space extends to a topological action on the virtual boundary. Croke and Kleiner introduced a class of so-called admissible actions and as...
Motivic Milnor fibers over complete intersection varieties and their virtual Betti numbers
Motivic Milnor fibers complete intersection varieties their virtual Betti numbers
2010/11/26
We study the Jordan normal forms of the local and global monodromies over complete intersection subvarieties of Cn by using the theory of motivic Milnor fibers.The results will be explicitly described...
Various virtual structures on single file system
Various virtual structures single file system
2010/12/6
В статье предлагается новый подход к построению иерархической структуры файловой системы. В первой части статьи сделан обзор построения структур хранения файлов в современных операционных системах. Во...
Virtual neighborhoods and pseudo-holomorphic curves
pseudo-holomorphic curves Virtual neighborhoods
2010/3/3
Virtual neighborhoods and pseudo-holomorphic curves。