A. Akhmedov

activity

20092026

most citedGirth Alternative for Subgroups of PL_o(I)

4 citations · 14 across the 27 of their papers we have counts for

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2 papers · 1 filter

math.GT2026

Higher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-Manifolds

Anar Akhmedov, Azer Akhmedov

We study mixed symplectic sums along connected unbranched cyclic multisections of degrees $p, q \geq 2$ in ruled surfaces. With \[ p(g-1)=q(h-1)=n, \] the resulting four-manifold has…

math.GT2026

Nonabelian Torus Exteriors in $S^{4}$ and Torus Replacement in Four-Manifolds

Anar Akhmedov, Azer Akhmedov

We study torus-exterior replacement in four-manifolds, with the construction controlled by the peripheral homomorphism. Using torus exteriors arising from the work of Boyle and Kan…

Higher Braided Mixed Sums, Intersection Lattices, and Symplectic Four-Manifolds

Nonabelian Torus Exteriors in S4 and Torus Replacement in Four-Manifolds

Nonabelian Torus Exteriors in $S^{4}$ and Torus Replacement in Four-Manifolds