Journal: Geometry & Topology

Abbreviation

Geom. topol.

Publisher

Mathematical Sciences Publishers

Journal Volumes

ISSN

1465-3060
1364-0380

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Publications 1 - 10 of 19
  • Boundaries and automorphisms of hierarchically hyperbolic spaces
    Item type: Journal Article
    Durham, Matthew G.; Hagen, Mark F.; Sisto, Alessandro (2017)
    Geometry & Topology
  • The quantum tropical vertex
    Item type: Journal Article
    Bousseau, Pierrick (2020)
    Geometry & Topology
    Gross, Pandharipande and Siebert have shown that the 2–dimensional Kontsevich–Soibelman scattering diagrams compute certain genus-zero log Gromov–Witten invariants of log Calabi–Yau surfaces. We show that the q–refined 2–dimensional Kontsevich–Soibelman scattering diagrams compute, after the change of variables q=eiℏ, generating series of certain higher-genus log Gromov–Witten invariants of log Calabi–Yau surfaces. This result provides a mathematically rigorous realization of the physical derivation of the refined wall-crossing formula from topological string theory proposed by Cecotti and Vafa and, in particular, can be viewed as a nontrivial mathematical check of the connection suggested by Witten between higher-genus open A–model and Chern–Simons theory. We also prove some new BPS integrality results and propose some other BPS integrality conjectures.
  • Gromov-Witten/pairs descendent correspondence for toric 3-folds
    Item type: Journal Article
    Pandharipande, Rahul; Pixton, Aaron (2014)
    Geometry & Topology
  • Boundaries of Dehn fillings
    Item type: Journal Article
    Groves, Daniel; Fox Manning, Jason; Sisto, Alessandro (2019)
    Geometry & Topology
  • Maximal representations, non-Archimedean Siegel spaces, and buildings
    Item type: Journal Article
    Burger, Marc; Pozzetti, Maria Beatrice (2017)
    Geometry & Topology
  • Slowly converging Yamabe flows
    Item type: Journal Article
    Carlotto, Alessandro; Chodosh, Otis; Rubinstein, Yanir (2015)
    Geometry & Topology
  • Combination of convergence groups
    Item type: Journal Article
    Dahmani, François (2003)
    Geometry & Topology
  • The desingularization of the theta divisor of a cubic threefold as a moduli space
    Item type: Journal Article
    Bayer, Arend; Beentjes, Sjoerd Viktor; Feyzbakhsh, Soheyla; et al. (2024)
    Geometry & Topology
    We show that the moduli space ¯Mₓ(v) of Gieseker stable sheaves on a smooth cubic threefold X with Chern character v = (3, − H, − 1/2 H², 1/6 H³) is smooth and of dimension four. Moreover, the Abel–Jacobi map to the intermediate Jacobian of X maps it birationally onto the theta divisor Θ, contracting only a copy of X ⊂ ¯Mₓ (v) to the singular point 0 ∈ Θ. We use this result to give a new proof of a categorical version of the Torelli theorem for cubic threefolds, which says that X can be recovered from its Kuznetsov component Ku(X) ⊂ Dᵇ(X). Similarly, this leads to a new proof of the description of the singularity of the theta divisor, and thus of the classical Torelli theorem for cubic threefolds, ie that X can be recovered from its intermediate Jacobian.
  • Hierarchically hyperbolic spaces I: Curve complexes for cubical groups
    Item type: Journal Article
    Behrstock, Jason; Sisto, Alessandro; Hagen, Mark F. (2017)
    Geometry & Topology
  • Gromov-Witten invariants of the Hilbert schemes of points of a K3 surface
    Item type: Journal Article
    Oberdieck, Georg (2018)
    Geometry & Topology
Publications 1 - 10 of 19