14 citations · 53 across the 54 of their papers we have counts for
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Some Plethystic Identites and Kostka-Foulkes polynomials
Mahir Bilen Can
We investigate the relationship between Kostka-Foulkes polynomials and certain symmetric functions that arise from Garsia and Haglund's study of the q,t-Catalan series.
Calculating Heegaard-Floer Homology by Counting Lattice Points in Tetrahedra
Mahir Bilen Can, Cagri Karakurt
We introduce a notion of complexity for Sefiert homology spheres by establishing a correspondence between lattice point counting in tethrahedra and the Heegaard-Floer homology. Thi…
Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions
Mahir Bilen Can, Yonah Cherniavsky, Tim Twelbeck
The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an -shellable pos…
Lexicographic Shellability of Partial Involutions
Mahir Bilen Can, Tim Twelbeck
In this manuscript we study inclusion posets of Borel orbit closures on (symmetric) matrices. In particular, we show that the Bruhat poset of partial involutions is a lexicographii…
Weak Order on Complete Quadrics
Mahir Bilen Can, Michael Joyce
Using an action of the Richardson-Springer monoid on involutions, we study the weak order on the variety of complete quadrics. Maximal chains in the poset are explicitly determined…