# Betti number

## Papers overview

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2012

2012

- 2012

Let G be a finitely generated group and G = G0 ⊇ G1 ⊇ G2 ⊇ · · · a descending chain of finite index normal subgroups of G. Given… (More)

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2008

2008

- 2008

We use stratified Morse theory for a manifold with corners to give a new bound for the sum of the Betti numbers of a fewnomial… (More)

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2005

2005

- STOC
- 2005

In this paper we describe the first singly exponential algorithm for computing the first Betti number of a given semi-algebraic… (More)

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2001

2001

- 2001

We prove an extension of the following result of Lubotzky and Madid on the rational cohomology of a nilpotent group G: If b1… (More)

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2000

2000

- 2000

The behaviour of graded Betti numbers under exterior and symmetric algebraic shifting is studied. It is shown that the extremal… (More)

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2000

2000

- 2000

Sums of Betti numbers in arbitrary characteristic Nicholas M. Katz Introduction In [Mil], Milnor gave an explicit upper bound for… (More)

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1999

1999

- 1999

Our main theorem asserts that for all odd n ≥ 3 and 0 < δ ≤ 1, there exists a small constant, i(n, δ) > 0, such that if a simply… (More)

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Highly Cited

1999

Highly Cited

1999

- 1999

In this paper, we introduces the notion of bounded Betti numbers, and show that the bounded Betti numbers of a closed Riemannian… (More)

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1994

1994

- 1994

If M is a closed orientable hyperbolic 3-manifold with first Betti number 2 then the volume of M exceeds 0.34.

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Review

1977

Review

1977

- J. Comb. Theory, Ser. B
- 1977

We consider the problem of the relationship of the genus of a graph to its Betti number. We define the function g(p) which is the… (More)

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