3 papers
math.AG2005
The algebra of Mirkovic-Vilonen cycles in type A
Jared E. Anderson, Mikhail Kogan
Let Gr be the affine Grassmannian for a connected complex reductive group G. Let C_G be the complex vector space spanned by (equivalence classes of) Mirkovic-Vilonen cycles in Gr.…
q-bio.NC2004
The perception of melodic consonance: an acoustical and neurophysiological explanation based on the overtone series
Jared E. Anderson
The melodic consonance of a sequence of tones is explained using the overtone series: the overtones form "flow lines" that link the tones melodically; the strength of these flow li…
math.AG2003
Mirkovic-Vilonen cycles and polytopes in type A
Jared E. Anderson, Mikhail Kogan
We study, in type A, the algebraic cycles (MV-cycles) discovered by I. Mirković and K. Vilonen [MV]. In particular, we partition the loop Grassmannian into smooth pieces such that…