Anar Akhmedov

activity

20062026

most citedExotic smooth structures on 4-manifolds with zero signature

41 citations · 143 across the 25 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.GT2015★ 5 cited

Genus two Lefschetz fibrations with $b_{2}^{+} = 1$ and $c_{1}^{2} = 1, 2$

Anar Akhmedov, Naoyuki Monden

In this article we construct a family of genus two Lefschetz fibrations $f_{n} : X_{θ_{n}} \to S^{2}$ with $e (X_{θ_{n}}) = 11$ , $b_{2}^{+} (X_{θ_{n}}) = 1$ , and $c_1^{2}(X_{θ_…

math.GT2015★ 5 cited

The fundamental group of symplectic $4$ -manifolds with $b^{+} = 1$

Anar Akhmedov, Weiyi Zhang

In this article we apply the technique of Luttinger surgery to study the complexity of the fundamental group of symplectic $4$ -manifolds with holomorphic Euler number $χ_{h} = 1$ . We d…

math.GT2015

On the geography of simply connected nonspin symplectic $4$ -manifolds with nonnegative signature

Anar Akhmedov, Sümeyra Sakallı

In \cite{AP3, AHP}, the first author and his collaborators constructed the irreducible symplectic $4$ -manifolds that are homeomorphic but not diffeomorphic to $(2n-1){\mathbb{CP}}^…

Genus two Lefschetz fibrations with b2+​=1 and c1​2=1,2

The fundamental group of symplectic 4-manifolds with b+=1

On the geography of simply connected nonspin symplectic 4-manifolds with nonnegative signature

Genus two Lefschetz fibrations with $b_{2}^{+} = 1$ and $c_{1}^{2} = 1, 2$

The fundamental group of symplectic $4$ -manifolds with $b^{+} = 1$

On the geography of simply connected nonspin symplectic $4$ -manifolds with nonnegative signature