<p>We construct Lefschetz fibrations of a Weinstein manifold from its Weinstein structure when the Weinstein manifold is one of the following three types: cotangent bundle, plumbing of two cotangent bundles, or plumbing of multiple copies of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(T^*S^n\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>T</mi> <mo>∗</mo> </msup> <msup> <mi>S</mi> <mi>n</mi> </msup> </mrow> </math></EquationSource> </InlineEquation> whose plumbing pattern is a tree.</p>

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Lefschetz fibrations on cotangent bundles and some plumbings

  • Sangjin Lee

摘要

We construct Lefschetz fibrations of a Weinstein manifold from its Weinstein structure when the Weinstein manifold is one of the following three types: cotangent bundle, plumbing of two cotangent bundles, or plumbing of multiple copies of \(T^*S^n\) T S n whose plumbing pattern is a tree.