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环路空间,超对称与指标理论研讨会将于2017.7.17-7.21在南开大学陈省身数学研究所举行。
Chern Institute of Mathematics (CIM) was founded through the initiative of the late Professor Shiing-Shen Chern, who was also the first director of the Institute until 1992. The institute is located i...
For a topological dynamical system (X, f), consisting of a continuous map f : X X, and a (not necessarily compact) set Z ⊂ X, Bowen [2] defined a dimension-like version of entropy,hX(f, Z). In...
Fractional Analytic Index     Fractional  Analytic Index       2015/3/19
Fractional Analytic Index.
In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups, Petersen introduced ...
According toWatanabe [6], by generalized Wiener functional we could give a simple stochastic proof of the index theorem for twisted Dirac operator (the Atiyah-Singer index theorem) on Clifford module.
We prove that the Mahonian-Stirling pairs of permutation statistics $(\sor, \cyc)$ and $(\inv, \mathrm{rlmin})$ are equidistributed on the set of permutations that correspond to arrangements of $n$ no...
In this paper we classify n-dimensional Fano manifolds with index >=n-2 and positive second Chern character.
In the combinatorial study of the coefficients of a bivariate polynomial that generalizes both the length and the reflection length generating functions for finite Coxeter groups, Petersen introduced ...
In this note we will provide proofs for the various statements that have been made in the literature about blocking sets of index three. Our aim is to clarify what is known about the characterization ...
Gauss-Bonnet for simple graphs G assures that the sum of curvatures K(x) over the vertex set V of G is the Euler characteristic X(G). Poincare-Hopf tells that for any injective function f on V the sum...

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