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Publications

Below you will find a list of preprints, published/accepted papers, as well as slides from some talks I have given in the past; each entry has a short abstract.

These are my preprints:

  1. Line arrangements with odd multiplicities (abstract), arXiv:2403.17260.
  2. (with M. Marengon) Splitting links by integer homology spheres (abstract), arXiv:2403.00064.
  3. (with L. F. Di Cerbo) The signature of geometrically decomposable aspherical 4-manifolds (abstract), arXiv:2306.15501.
  4. (with F. Ben Aribi, Sylvain Courte, and Delphine Moussard) Multisections of higher-dimensional manifolds (abstract), arXiv:2303.08779.
  5. (with P. Aceto, K. Larson, and A. G. Lecuona) Surgeries on torus knots, rational homology balls, and cabling (abstract), arXiv:2008.06760.

These are papers that have been published or accepted:

  1. (with L. Starkston) Rational cuspidal curves and symplectic fillings (abstract), to appear in J. Symplectic Geom. arXiv:2111.09700.
  2. (with K. Larson) 3-manifolds that bound no definite 4-manifold (abstract), to appear in Math. Res. Lett. arXiv:2012.12929.
  3. (with J. Etnyre) Symplectic hats (abstract), J. Topol. 15, no. 4, 2216–2269 (2022). arXiv:2001.08978.
  4. (with P. Feller) Non-orientable slice surfaces and inscribed rectangles (abstract), Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5), 24 (2023), no. 3, 1463–1485. arXiv:2003.01590.
  5. (with L. F. Di Cerbo) On the impossibility of complex-hyperbolic Einstein Dehn filling (abstract), Proc. Amer. Math. Soc. 151 (2022), no. 1, 281–294. arXiv:2111.12667.
  6. (with F. Kütle) Symplectic isotopy of rational cuspidal sextics and septics (abstract), Int. Math. Res. Not. IMRN 2023 (2023), no. 8, 6504–6578. arXiv:2008.10923.
  7. (with L. Starkston) The symplectic isotopy problem for rational cuspidal curves (abstract), Compos. Math. 158 (2022), no. 7, 1595–1682. arXiv:1907.06787.
  8. (with K. Larson) Linear independence in the rational homology cobordism group (abstract)
    J. Inst. Math. Jussieu 20 (2021), no. 3, 989–1000. arXiv:1803.07931.
  9. (with P. Ghiggini and O. Plamenevskaya) Surface singularities and planar contact structures (abstract)
    Ann. Inst. Fourier (Grenoble) 70 (2020), no. 4, 1791–1823. arXiv:1708.04108.
  10. (with D. Celoria) Heegaard Floer homology and concordance bounds on the Thurston norm (with an appendix with A. Levine) (abstract)
    Trans. Amer. Math. Soc. 373 (2020), no. 1, 295–318. arXiv:1806.10562.
  11. (with A. Juhász) Functoriality of the EH class and the LOSS invariant under Lagrangian concordances (abstract)
    Algebr. Geom. Topol. 19 (2019), no. 7, 3683–3699. arXiv:1801.03716.
  12. (with C. Scaduto) On definite lattices bounded by integer surgeries along knots with slice genus at most 2 (abstract, with a minor erratum)
    Trans. Amer. Math. Soc. 372 (2019), no. 11, 7805–7829. arXiv:1806.11931.
  13. (with P. Aceto and A. G. Lecuona) Handle decompositions of rational balls and Casson–Gordon invariants (abstract)
    Proc. Amer. Math. Soc. 146 (2018), no. 9, 4059–4072. arXiv:1610.10032.
  14. (with M. Marengon) Correction terms and the non-orientable slice genus (abstract)
    Michigan Math. J. 67 (2018), no. 1, 59–82. arXiv:1607.08117.
  15. (with S. Behrens) Heegaard Floer correction terms, with a twist (abstract)
    Quantum Topol. 9 (2018), no. 1, 1–37. arXiv:1505.07401.
  16. (with J. Bodnár and D. Celoria) A note on cobordisms of algebraic knots (abstract)
    Algebr. Geom. Topol. 17 (2017), no. 4, 2543–2564. arXiv:1509.08821.
  17. (with B. Martelli) Pair of pants decompositions of 4-manifolds (abstract)
    Algebr. Geom. Topol. 17 (2017), no. 3, 1407–1444. arXiv:1503.05839.
  18. (with P. Aceto and K. Larson) Embedding 3-manifolds in spin 4-manifolds (abstract)
    J. Topol. 10 (2017), no. 2, 301–323. arXiv:1607.06388.
  19. (with P. Aceto) Dehn surgeries and rational homology balls (abstract)
    Algebr. Geom. Topol. 17 (2017), no. 1, 487–527. arXiv:1509.07559.
  20. (with J. Bodnár and D. Celoria) Cuspidal curves and Heegaard Floer homology (abstract)
    Proc. London Math. Soc. 112 (2016), no. 3, 512–548. arXiv:1309.3282.
  21. (with P. Lisca) On Stein fillings of contact torus bundles (abstract)
    Bull. London Math. Soc. 48 (2016), no. 1, 19–37. arXiv:1412.0828.
  22. Ozsváth–Szabó invariants of contact surgeries (abstract)
    Geom. Topol. 19 (2015), no. 1, 171–235. arXiv:1201.5286.
  23. Comparing invariants of Legendrian knots (abstract)
    Quantum Topol. 6 (2015), no. 3, 365–402. arXiv:1505.07401.

Here you can find the slides of some talks I've given. Generally I prefer to use the old-fashioned blackboard.

  • Floer homology and invariants of Legendrian knots (slides)
    These are the slides from a talk that I've given at the Hungarian Academy of Sciences, at a mini-conference in honour of András Stipsicz. It's intended for a wide mathematical audience.
  • Knots, polynomials, and categorification (slides)
    These are the slides from a talk that I've given at the Rényi Institute for the Junior Colloquium. It's intended for a wide matematical audience, and is a brief sketch of the Kauffman states approach to knot Floer homology.
  • 4-varietà simplettiche: gruppi fondamentali e teorema di Gompf (slides, in Italian)
    These are slides for a fourth-year examination at Scuola Normale.
  • Omologia di Floer combinatoria e invarianti di nodi legendriani e trasversi (slides, in Italian)
    These are slides for the final examination at Scuola Normale.

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