%0 Generic %1 Barrett2014Twodimensional %A Barrett, John W. %A Tavares, Sara O. G. %D 2014 %K spin %T Two-dimensional state sum models and spin structures %U http://arxiv.org/abs/1312.7561 %X The state sum models in two dimensions introduced by Fukuma, Hosono and Kawai are generalised by allowing algebraic data from a non-symmetric Frobenius algebra. Without any further data, this leads to a state sum model on the sphere. When the data is augmented with a crossing map, the partition function is defined for any oriented surface with a spin structure. An algebraic condition that is necessary for the state sum model to be sensitive to spin structure is determined. Some examples of state sum models that distinguish topologically-inequivalent spin structures are calculated.

@misc{Barrett2014Twodimensional, abstract = {{The state sum models in two dimensions introduced by Fukuma, Hosono and Kawai are generalised by allowing algebraic data from a non-symmetric Frobenius algebra. Without any further data, this leads to a state sum model on the sphere. When the data is augmented with a crossing map, the partition function is defined for any oriented surface with a spin structure. An algebraic condition that is necessary for the state sum model to be sensitive to spin structure is determined. Some examples of state sum models that distinguish topologically-inequivalent spin structures are calculated.}}, added-at = {2019-02-23T22:09:48.000+0100}, archiveprefix = {arXiv}, author = {Barrett, John W. and Tavares, Sara O. G.}, biburl = {https://www.bibsonomy.org/bibtex/230386ba7f38f4e9a457a1b4c42d49b55/cmcneile}, citeulike-article-id = {13364839}, citeulike-linkout-0 = {http://arxiv.org/abs/1312.7561}, citeulike-linkout-1 = {http://arxiv.org/pdf/1312.7561}, day = 20, eprint = {1312.7561}, interhash = {4c521147b3797f8c5c7a19221ee91d0e}, intrahash = {30386ba7f38f4e9a457a1b4c42d49b55}, keywords = {spin}, month = feb, posted-at = {2014-09-16 14:59:37}, priority = {2}, timestamp = {2019-02-23T22:15:27.000+0100}, title = {{Two-dimensional state sum models and spin structures}}, url = {http://arxiv.org/abs/1312.7561}, year = 2014 }