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Betti number

Known as: Betti numbers, Poincare polynomial, Poincaré polynomial 
In algebraic topology, the Betti numbers are used to distinguish topological spaces based on the connectivity of n-dimensional simplicial complexes… 
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Related topics

Related topics

20 relations
Circuit rankComputer scienceConnected component (graph theory)Cycle space

Papers overview

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2013
2013
Hodge polynomials of the SL(2, ℂ)-character variety of an elliptic curve with two marked points
We compute the Hodge polynomials for the moduli space of representations of an elliptic curve with two marked points into SL(2… 
Highly Cited
2010
Highly Cited
2010
Linearized group field theory and power-counting theorems
We introduce a linearized version of group field theory. It can be viewed either as a group field theory over the additive group… 
2006
2006
Monomial ideals, edge ideals of hypergraphs, and their minimal graded free resolutions
We use the correspondence between hypergraphs and their associated edge ideals to study the minimal graded free resolution of… 
2001
2001
BETTI NUMBER ESTIMATES FOR NILPOTENT GROUPS
We prove an extension of the following result of Lubotzky and Madid on the rational cohomology of a nilpotent group G: If b1 b1/4… 
2000
2000
Local cohomology, arrangements of subspaces and monomial ideals
Highly Cited
1997
Highly Cited
1997
Locally conformal Kähler structures in quaternionic geometry
We consider compact locally conformal quaternion Kähler manifolds M . This structure defines on M a canonical foliation, which we… 
1997
1997
Betti Numbers of 3‐Sasakian Quotients of Spheres by Tori
We give a formula for the Betti numbers of 3‐Sasakian manifolds or orbifolds which can be obtained as 3‐Sasakian quotients of a… 
1995
1995
A new approach to computing the Euler characteristic
1995
1995
On the Betti number of the image of a codimension-$k$ immersion with normal crossings
Let f M -N be a codimensionk immersion with normal crossings of a closed m-dimensional manifold. We show that f is an embedding… 
1981
1981
Rings with lexicographic straightening law
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