The linear representation of the mapping class group of a closed orientable surface of genus 2 defined by V. Jones is examined. It arises from the Iwahori-Hecke algebra representations of Artin's braid group of 6 strings. Under a certain nontrivial specialization, the image of the Torelli group is explicitly computed. As an application, the relation with the Rochlin invariant of homology 3-spheres is discussed. © 2001 Elsevier Science B.V. All rights reserved.
CITATION STYLE
Kasahara, Y. (2002). The Jones representation of genus 2 at the 4th root of unity and the Torelli group. Topology and Its Applications, 124(1), 129–138. https://doi.org/10.1016/S0166-8641(01)00242-5
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