| 《变换群与曲线模空间》是由高等教育出版社出版的。 |
| lectures on orbifolds and group cohomology alejandro adem and michele klaus 1 introduction 2 classical orbifolds 3 examples of orbifolds 4 orbifolds and manifolds 5 orbifolds and groupoids 6 the orbifold euler characteristic and k-theory 7 stringy products in k-theory 8 twisted version references lectures on the mapping class group of a surface thomas kwok-keung au, feng luo and tian yang introduction 1 mapping class group 2 dehn-lickorish theorem 3 hyperbolic plane and hyperbolic surfaces 4 quasi-isometry and large scale geometry 5 dehn-nielsen theorem references lectures on orbifolds and reflection groups michael w. davis 1 transformation groups and orbifolds 2 2-dimensional orbifolds 3 reflection groups 4 3-dimensional hyperbolic reflection groups 5 aspherical orbifolds references lectures on moduli spaces of elliptic curves richard hain 1 introduction to elliptic curves and the moduli problem 2 families of elliptic curves and the universal curve 3 the orbifold m1,1 4 the orbifold ■1,1 and modular forms 5 cubic curves and the universal curve ■→■1,1 6 the picard groups of m1,1 and ■1,1 7 the algebraic topology of ■1,1 8 concluding remarks appendix a background on riemann surfaces appendix b a very brief introduction to stacks references an invitation to the local structures of moduli of genus one stable maps yi hu 1 introduction 2 the structures of the direct image sheaf 3 extensions of sections on the central fiber references lectures on the elsv formula chiu-chu melissa liu 1 introduction 2 hurwitz numbers and hodge integrals 3 equivariant cohomology and localization 4 proof of the elsv formula by virtual localization references formulae of one-partition and two-partition hodge integrals chiu-chu melissa liu 1 introduction 2 the marino-vafa formula of one-partition hodge integrals 3 applications of the marifio-vafa formula 4 three approaches to the marino-vafa formula 5 proof of proposition 4.3 6 generalization to the two-partition case references lectures on elements of transformation groups and orbifolds zhi lu 1 topological groups and lie groups 2 g-actions (or transformation groups) on topological spaces 3 orbifolds 4 homogeneous spaces and orbit types 5 twisted product and slice 6 equivariant cohomology 7 davis-januszkiewicz theory references the action of the mapping class group on representation varieties richard a. wentworth 1 introduction 2 action of out (π) on representation varieties 3 action on the cohomology of the space of fiat unitary connections 4 action on the cohomology of the sl (2, c) character variety references |
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