Výsledky vyhledávání - "Fuller, Terry"

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Branched covers and pencils on hyperelliptic Lefschetz fibrations

Autor: Fuller, Terry

Publikováno v: J. Math. Soc. Japan, Vol. 76, No. 3 (2024) pp. 791-812

Generalizing work of I. Baykur, K. Hayano, and N. Monden (arXiv:1903.02906), we construct infinite families of symplectic 4-dimensional manifolds, obtained as total spaces of Lefschetz pencils constructed by explicit monodromy factorizations. Then, g

Externí odkaz: http://arxiv.org/abs/2208.00490

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Unchaining surgery, branched covers, and pencils on elliptic surfaces

Autor: Fuller, Terry

Publikováno v: Algebr. Geom. Topol. 23 (2023) 2867-2893

We show that every member of an infinite family of symplectic manifolds constructed by R. Inanc Baykur, Kenta Hayano, and Naoyuki Monden (arXiv:1903:02906) is diffeomorphic to an elliptic surface. As a result: (1) the symplectic Calabi-Yau 4-manifold

Externí odkaz: http://arxiv.org/abs/2108.04868

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Realizing 4-manifolds as achiral Lefschetz fibrations

Autor: Etnyre, John B., Fuller, Terry

We show that any 4-manifold, after surgery on a curve, admits an achiral Lefschetz fibration. In particular, we show that the connected sum of any simply connected 4-manifold with a 2-sphere bundle over the 2-sphere will admit an achiral Lefschetz fi

Externí odkaz: http://arxiv.org/abs/math/0510008

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Hyperelliptic Lefschetz fibrations and branched covering spaces

Autor: Fuller, Terry

Let M be a smooth 4-manifold which admits a relatively minimal hyperelliptic genus h Lefschetz fibration over the 2-sphere. If all of the vanishing cycles for this fibration are nonseparating curves, then we show that M is a 2-fold cover of a 2-spher

Externí odkaz: http://arxiv.org/abs/math/9811093

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Lefschetz Fibrations and 3-Fold Branched Covering Spaces

Autor: Fuller, Terry

This paper is withdrawn by the author. See math.GT/9811093 for replacement.
Comment: This paper is withdrawn by the author. See math.GT/9811093 for replacement

Externí odkaz: http://arxiv.org/abs/math/9806010

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