Results 21 to 30 of about 517 (73)
Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure [PDF]
, 2016 We obtain a formula for the number of genus one curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface.
Biswas, Indranil +2 more
core +3 more sources
The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces [PDF]
, 2012 We show that the Quantum Lefschetz Hyperplane Principle can fail for certain orbifold hypersurfaces and complete intersections.
Coates, Tom +5 more
core +2 more sources
On the rigidity of stable maps to Calabi-Yau threefolds [PDF]
, 2006 If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle.
Bryan, Jim, Pandharipande, Rahul
core +2 more sources
Virasoro constraints for moduli spaces of sheaves on surfaces
Forum of Mathematics, Sigma, 2023 We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves on a smooth projective surface. These generalise the Virasoro constraints on the Hilbert scheme of a surface found by Moreira and Moreira, Oblomkov, Okounkov and ...
Dirk van Bree
doaj +1 more source
The DT/PT correspondence for smooth curves [PDF]
, 2018 We show a version of the DT/PT correspondence relating local curve counting invariants, encoding the contribution of a fixed smooth curve in a Calabi-Yau threefold.
Ricolfi, Andrea T.
core +3 more sources
Mirror symmetry for concavex vector bundles on projective spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 3, Page 159-197, 2003., 2003 Let X ⊂ Y be smooth, projective manifolds. Assume that ι : X → ℙs is the zero locus of a generic section of V+ = ⊕i∈I𝒪(ki), where all the ki′s are positive. Assume furthermore that 𝒩X/Y = ι∗(V−), where V− = ⊕j∈J𝒪(−lj) and all the lj′s are negative. We show that under appropriate restrictions, the generalized Gromov‐Witten invariants of X inherited from
Artur Elezi
wiley +1 more source
Behavior of Welschinger Invariants under Morse Simplifications [PDF]
, 2012 We relate Welschinger invariants of a rational real symplectic 4-manifold before and after a Morse simplification (i.e deletion of a sphere or a handle of the real part of the surface).
Brugallé, Erwan, Puignau, Nicolas
core +1 more source
On solutions to Walcher's extended holomorphic anomaly equation [PDF]
, 2007 We give a generalization of Yamaguchi--Yau's result to Walcher's extended holomorphic anomaly equation.Comment: 19 pages, 3 figures, (v2) a reference ...
Konishi, Yukiko, Minabe, Satoshi
core +2 more sources
Logarithmic asymptotics of the genus zero Gromov-Witten invariants of the blown up plane
, 2005 We study the growth of the genus zero Gromov-Witten invariants GW_{nD} of the projective plane P^2_k blown up at k points (where D is a class in the second homology group of P^2_k).
Di Francesco +11 more
core +6 more sources
Cluster Structures on Double Bott–Samelson Cells
Forum of Mathematics, Sigma, 2021 Let $\mathsf {C}$ be a symmetrisable generalised Cartan matrix. We introduce four different versions of double Bott–Samelson cells for every pair of positive braids in the generalised braid group associated to $\mathsf {C}$ .
Linhui Shen, Daping Weng
doaj +1 more source