Functoriality in intersection theory and a conjecture of Cox

By Bumsig Kim, Andrew Kresch, T. Pantev. 2003

135 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0fbf80642cd55033d6d08468641c971735126ccc

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In Geometry and Topology

In Mathematical Physics

Citations in the corpus

Quantum D-modules and generalized mirror transformations (2004, methodology): “quivariant limit λW → 0 of i∗JS1×S1 X,eW⊕V (q,t,~) exists. More precisely we have lim λW→0 i∗JS1×S1 X,eW⊕V (q,t,~) = JS1 X,V(q,t,~). When W is convex, the above lemma follows from the main theorem of [KKP]. The proof is also given in Appendix. Let Jmodif X,eW⊕V (q,t,~) be the hypergeometric modiﬁcat”
Quantum Cohomology and Periods (2011, background): “By the functoriality [43] of virtual classes we have ∑”
Orbifold quasimap theory (2014, background): “2] holds equally in the orbifold case (the same argument, based on [22], works, see also [16, Proposition 5.”
Logarithmic Stable Maps (2008, background): “The absolute obstruction theory F • → LM can be obtained as in [9, 16] so that there is a distinguished triangle:”
The Abelian/Nonabelian correspondence and Frobenius manifolds (2006, unknown): “ Z cS top (π∗ev∗ n+2E)∩[M 0,n+1(X,β)]vir δk z−ψ Yn i=1 ev∗ 1+i (˜t) = X k : pk∈Y S i∗δ k n! X d∈NE 1(Y ) : i∗d=β Z [M 0,n+1(Y,d)]vir i∗δk z−ψ Yn i=1 ev∗ 1+i(t), where the latter equality follows from [KKP]. Note that i∗JS,β E (˜t) = 0 if there is no d ∈NE 1(Y) such that i∗d = β. Since {i∗δk}and {i∗δ”
Stable quasimaps to GIT quotients (2011, background): “The second equality is now immediate from the definitions, while the first follows from [26] by the same argument as the one given there for moduli of stable maps.”
Torus localization and wall crossing for cosection localized virtual cycles (2015, background): “[22]): Let Γ be the graph of the morphism”
Convergence of quantum cohomology by quantum Lefschetz (2005, background): “By the main theorem of [22], if c1ðLÞ is nef, we have at l 1⁄4 0, ha1; .”
Orbifold quantum Riemann–Roch, Lefschetz and Serre (2005, unknown): “The following proposition follows from [39].”
Localizing virtual cycles by cosections (2010, methodology): “1), we mimick the construction of [17].”