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20022008
most citedSpin current and magneto-electric effect in non-collinear magnets

2.2k citations

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11 papers · 1 filter

math.GT20075 cited

Colored Jones polynomials with polynomial growth

Kazuhiro Hikami, Hitoshi Murakami

The volume conjecture and its generalizations say that the colored Jones polynomial corresponding to the N-dimensional irreducible representation of sl(2;C) of a (hyperbolic) knot…

math.GT20071 cited

Canonical lifts of the Johnson homomorphisms to the Torelli groupoid

Alex James Bene, Nariya Kawazumi, R. C. Penner

We prove that every trivalent marked bordered fatgraph comes equipped with a canonical generalized Magnus expansion in the sense of Kawazumi. This Magnus expansion is used to give…

math.GT20077 cited

The mapping class group and the Meyer function for plane curves

Yusuke Kuno

For each d>=2, the mapping class group for plane curves of degree d will be defined and it is proved that there exists uniquely the Meyer function on this group. In the case of d=4…

math.GT2007

Non-abelian Reidemeister torsion for twist knots

Jérôme Dubois, Vu Huynh, Yoshikazu Yamaguchi

This paper gives an explicit formula for the SL_2(C)-non-abelian Reidemeister torsion as defined in [Dub06] in the case of twist knots. For hyperbolic twist knots, we also prove th…

math.GT2007

The abelianization of a symmetric mapping class group

Masatoshi Sato

We determine the abelianization of the symmetric mapping class group of a double unbranched cover using the Riemann theta constant, Schottky theta constant, and the theta multiplie…

math.GT2007

Constructing convex planes in the pants complex

Javier Aramayona, Hugo Parlier, Kenneth J. Shackleton

Our main theorem identifies a class of totally geodesic subgraphs of the 1-skeleton of the pants complex, each isomorphic to the product of two Farey graphs. We deduce the existenc…