Abstract
Let be a genus compact oriented surface with one boundary component and one marked point . Let be the identity component of the group of symplectomorphisms that preserve the marked point . By using the flux homomorphism and the short exact sequence , we construct a central -extension of . We also show that the second cohomology class corresponding to the central -extension is equal to the Euler class of up to non-zero constant multiple.
Citation
Shuhei MARUYAMA. "The Flux Homomorphism on a Surface with Boundary and Central Extensions of Diffeomorphism Groups." Tokyo J. Math. 45 (2) 379 - 388, December 2022. https://doi.org/10.3836/tjm/1502179358
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