60 citations · 353 across the 40 of their papers we have counts for
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A Nakayama result for the quantum K theory of homogeneous spaces
Wei Gu, Leonardo C. Mihalcea, Eric Sharpe +3
We prove that the ideal of relations in the (equivariant) quantum K ring of a homogeneous space is generated by quantizations of each of the generators of the ideal in the classica…
Toda-Type Presentations for the Quantum K Theory of Partial Flag Varieties
Kamyar Amini, Irit Huq-Kuruvilla, Leonardo C. Mihalcea +2
We prove a determinantal, Toda-type, presentation for the equivariant K theory of a partial flag variety . The proof relies on pushing forward the Toda…
Quantum K--theory of Grassmannians from a Yang-Baxter algebra
Vassily Gorbounov, Christian Korff, Leonardo C. Mihalcea
In an earlier paper, two of the authors defined a -vertex Yang-Baxter algebra (a Hopf algebra) which acts on the sum of the equivariant quantum K-rings of Grassmannians $\mathrm…
Chevalley formulae for the motivic Chern classes of Schubert cells and for the stable envelopes
Leonardo C. Mihalcea, Hiroshi Naruse, Changjian Su
We prove a Chevalley formula to multiply the motivic Chern classes of Schubert cells in a generalized flag manifold by the class of any line bundle . Our formu…
Quantum K Whitney relations for partial flag varieties
Wei Gu, Leonardo C. Mihalcea, Eric Sharpe +3
In a recent paper, we stated conjectural presentations for the equivariant quantum K ring of partial flag varieties, motivated by physics considerations. In this companion paper, w…
Characteristic cycles of IH sheaves of simply laced minuscule Schubert varieties are irreducible
Leonardo C. Mihalcea, Rahul Singh
Let be a complex cominuscule flag manifold of type . We prove that each characteristic cycle of the intersection homology (IH) complex of a Schubert variety in …