5 citations · 19 across the 13 of their papers we have counts for
13 papers
Quantum Lefschetz property for genus two stable quasimap invariants
Sanghyeon Lee, Mu-Lin Li, Jeongseok Oh
By the reduced component in a moduli space of stable quasimaps to n-dimensional projective space we mean the closure of the locus in which the domain curves are smooth. As in the m…
Characterization of Beauville's algebraic numbers via Hodge theory
Muxi Li, Mao Sheng
We provide a Hodge theoretical characterization of the set of algebraic numbers which arises from the complete list, due to A. Beauville, of semistable families of elliptic curves…
Splitting of the virtual class for genus one stable quasimaps
Sanghyeon Lee, Mu-Lin Li
We analyse the local structure of moduli space of genus one stable quasimaps. Combining it with the p-fields theory developed in \cite{L}, we prove the splitting formula for the vi…
Serre Duality for the Cohomology of Landau-Ginzburg models
Mu-Lin Li
Let V and F be holomorphic bundles over a complex manifold M, and s be a holomorphic section of V. We study the cohomology associated to the Koszul complex induced by s, and prove…
Two applications of the integral regulator
Matt Kerr, Muxi Li
We review Li's refinement of the KLM regulator map, and use it to detect torsion phenomena in higher Chow groups.
Cohomologies of Landau-Ginzburg models
Mu-Lin Li
Let V be a holomorphic bundle over a complex manifold M, and s be a holomorphic section of V. We study different types of cohomology associated to the Koszul complex induced by s.…
Integral Regulators for Higher Chow Complexes
Muxi Li
Building on Kerr, Lewis and Mueller-Stach's work on the rational regulator, we prove the existence of an integral regulator on higher Chow complexes and give an explicit expression…
Invariants of stable quasimaps with fields
Huai-Liang Chang, Mu-lin Li
For an arbitrary smooth hypersurface X in a projective space, we construct its LG moduli of quasimaps with P fields. Apply Kiem-Li's cosection localization we obtain a virtual fund…
Virtual residue and generalized Cayley- Bacharach Theorem
Mu-Lin Li
Using virtual residue, which is a generalization of Grothendieck residue, we generalized Cayley- Bacharach Theorem to the cases with positive dimensions.
A Note on Linear Higher Chow Groups
Muxi Li
We give a counterexample to the proof in the literature [K-Theory 25 (2002), 215-231] of the existence of linear representatives of higher Chow groups of number fields.
Genus one stable quasimap invariants for projective complete intersections
Mu-Lin Li
By using the infinitesimally marking point to break the loop in the localization calculation as Kim and Lho, and Zinger's explicit formulas for double -functions, we obtain a fo…
Double -function of stable quasimap invariants for complete intersection in Grassmannian
Mu-Lin Li
Using localization methods on the moduli space of stable quasimaps to Grassmannian, we give explicit formulas of -function and double -function of stable quasimaps for comple…
Virtual Residue and an integral formalism
Huai-Liang Chang, Mu-Lin Li
We generalize Grothendieck's residues to virtual cases, namely cases when the zero loci of the section has dimension larger than the expected dimension(zero). We…