4 papers
math.AG2025
Two reconstruction theorems in permutation equivariant quantum K-theory
Dun Tang
In this paper, we first generalize the K-theoretic Ancestor-Descendant (AD) correspondence in \cite{perm7} to allow arbitrary permutative inputs. With this version of AD correspond…
math.SG2025
K theoretic virtual fundamental cycle of global Kuranishi chart
Dun Tang
In this paper, we define the virtual fundamental cycle of a global Kuranishi chart as an element in the (analytic) orbispace K-homology of the virtual orbifold and verify that it d…
math.AG2025
Reconstruction of permutation equivariant quantum -invariants
Dun Tang
In this paper, we establish an analog of Dijkgraaf-Witten's theorem for invariants in permutation-equivariant quantum K-theory. This result generalizes the findings of \cite{…
math.AG2024
A formula on quantum K-invariants
Dun Tang
In this paper, we prove an analog of Dijkgraaf-Witten's theorem for invariants in quantum K-theory.