National Institute for Mathematical Sciences

most citedStringy Jacobi fields in Morse theory

10 citations

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5 papers

math.CO2007

Some matrices associated with the split decomposition for a Q-polynomial distance-regular graph

Joohyung Kim

We consider a $Q$ -polynomial distance-regular graph $Γ$ with vertex set $X$ and diameter $D \geq 3$ . For $μ, ν \in {↓, ↑}$ we define a direct sum decom…

math.AC2007★ 2 cited

Conditions for Generic Initial Ideals to be Almost Reverse Lexicographic

Young Hyun Cho, Jung Pil Park

Let $I$ be a homogeneous Artinian ideal in a polynomial ring $R = k [x_{1}, ..., x_{n}]$ over a field $k$ of characteristic 0. We study an equivalent condition for the generic initial ideal…

math-ph2007★ 10 cited

Stringy Jacobi fields in Morse theory

Yong Seung Cho, Soon-Tae Hong

We consider the variation of the surface spanned by closed strings in a spacetime manifold. Using the Nambu-Goto string action, we induce the geodesic surface equation, the geodesi…

math.OA2007

Saturated actions by finite dimensional Hopf -algebras on C-algebras

J. A. Jeong, G. H. Park

If a finite group action $α$ on a unital $C^{*}$ -algebra $M$ is saturated, the canonical conditional expectation $E : M \to M^{α}$ onto the fixed point algebra is known to be of index fin…

math.NT2007

Partitions weighted by the parity of the crank

Dohoon Choi, Soon-Yi Kang, Jeremy Lovejoy

A partition statistic ` crank' gives combinatorial interpretations for Ramanujan's famous partition congruences. In this paper, we establish an asymptotic formula, Ramanujan type c…

Some matrices associated with the split decomposition for a Q-polynomial distance-regular graph

Conditions for Generic Initial Ideals to be Almost Reverse Lexicographic

Stringy Jacobi fields in Morse theory

Saturated actions by finite dimensional Hopf *-algebras on C*-algebras

Partitions weighted by the parity of the crank

Saturated actions by finite dimensional Hopf -algebras on C-algebras