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Creators/Authors contains: "Marengon, Marco"

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  1. ; ; ; (, Proceedings of the American Mathematical Society, Series B)
    In this brief note, we investigate the C P 2 \mathbb {CP}^2 -genus of knots, i.e., the least genus of a smooth, compact, orientable surface in C P 2 ∖<#comment/> B 4 ˚<#comment/> \mathbb {CP}^2\smallsetminus \mathring {B^4} bounded by a knot in S 3 S^3 . We show that this quantity is unbounded, unlike its topological counterpart. We also investigate the C P 2 \mathbb {CP}^2 -genus of torus knots. We apply these results to improve the minimal genus bound for some homology classes in C P 2 #<#comment/> C P 2 \mathbb {CP}^2\# \mathbb {CP} ^2 . 
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  2. ; ; (, Springer Nature Switzerland)
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  3. ; (, Algebraic & Geometric Topology)
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  4. ; (, Proceedings of the American Mathematical Society)
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