Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Lisca, Paolo"'
Autor:
Collari, Carlo, Lisca, Paolo
We introduce and study strongly invertible Legendrian links in the standard contact three-dimensional space. We establish the equivariant analogs of basic results separately well-known for strongly invertible and Legendrian links, i.e. the existence
Externí odkaz:
http://arxiv.org/abs/2311.07974
Autor:
Lisca, Paolo, Parma, Andrea
We complete the classification of the smooth, closed, oriented 4-manifolds having Euler characteristic less than four and a horizontal handlebody decomposition of genus one. We use the classification result to find a large family of rational homology
Externí odkaz:
http://arxiv.org/abs/2302.14606
Autor:
Lisca, Paolo, Parma, Andrea
Publikováno v:
Algebr. Geom. Topol. 24 (2024) 3503-3525
We show that every smooth, closed, orientable 4-manifold X admits a special kind of handlebody decomposition that we call horizontal. We classify the closed 4-manifolds with the simplest horizontal decompositions and we describe all such decompositio
Externí odkaz:
http://arxiv.org/abs/2205.00482
Autor:
Lisca, Paolo, Parma, Andrea
We use elementary arguments to prove that none of the Stein rational homology 4-balls shown by the authors and Brendan Owens to embed smoothly but not symplectically in the complex projective plane admit such almost complex embeddings. In particular,
Externí odkaz:
http://arxiv.org/abs/2011.01784
Autor:
Lisca, Paolo, Parma, Andrea
We extend recent work of Brendan Owens by constructing a doubly infinite family of Stein rational homology balls which can be smoothly but not symplectically embedded in CP^2.
Comment: 9 pages, 2 figures, small changes. To appear in the Bulletin
Comment: 9 pages, 2 figures, small changes. To appear in the Bulletin
Externí odkaz:
http://arxiv.org/abs/2010.01613
Autor:
Collari, Carlo, Lisca, Paolo
Publikováno v:
Osaka J. Math. 58(4): 755-765 (October 2021)
Eisermann and Lamm introduced a notion of symmetric equivalence among symmetric union diagrams and studied it using a refined form of the Jones polynomial. We introduced invariants of symmetric equivalence via refined versions of topological spin mod
Externí odkaz:
http://arxiv.org/abs/1901.10270
Autor:
Benedetti, Riccardo, Lisca, Paolo
After surveying existing proofs that every closed, orientable 3-manifold is parallelizable, we give three proofs using minimal background. In particular, our proofs use neither spin structures nor the theory of Stiefel-Whitney classes.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/1806.04991
Autor:
Collari, Carlo, Lisca, Paolo
Publikováno v:
Canadian Mathematical Bulletin, 62(3), 451-468, 2019
An open question akin to the slice-ribbon conjecture asks whether every ribbon knot can be represented as a symmetric union. Next to this basic existence question sits the question of uniqueness of such representations. Eisermann and Lamm investigate
Externí odkaz:
http://arxiv.org/abs/1804.09157
Autor:
Lisca, Paolo
We study 3-braid knots of finite smooth concordance order. A corollary of our main result is that a chiral 3-braid knot of finite concordance order is ribbon.
Comment: To appear in Transactions of the American Mathematical Society. 25 pages, 4 f
Comment: To appear in Transactions of the American Mathematical Society. 25 pages, 4 f
Externí odkaz:
http://arxiv.org/abs/1504.03129
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