Geodesic
A simple construction of taut submanifolds
Pancholi, Dishant1
1Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam, Chennai 600130, India
Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 17-24
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We show that any integral second cohomology class of a closed manifold Xn, n ≥ 4, admits, as a Poincaré dual, a submanifold N such that X ∖ N has a handle decomposition with no handles of index bigger than (n + 1)∕2. In particular, if X is an almost complex manifold of dimension at least 6, the complement can be given a structure of a Stein manifold.

DOI : 10.2140/agt.2017.17.17
Classification : 53D15, 57R17, 53D05
Keywords: taut submanifolds, almost complex manifolds, symplectic manifolds, almost symplectic manifolds, Stein manifolds

Pancholi, Dishant  1

1 Chennai Mathematical Institute, H1 SIPCOT IT Park, Siruseri, Kelambakkam, Chennai 600130, India 
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Pancholi, Dishant. A simple construction of taut submanifolds. Algebraic and Geometric Topology, Tome 17 (2017) no. 1, pp. 17-24. doi: 10.2140/agt.2017.17.17

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