memoire-m2
My M2 Memoire on mapping class groups & their representations
references.bib (7355B)
1 @book{farb-margalit, 2 author = {Farb, Benson and Margalit, Dan}, 3 isbn = {978-0-691-14794-9}, 4 language = {English}, 5 publisher = {Princeton University Press}, 6 series = {Princeton Mathematical Series}, 7 title = {A Primer on Mapping Class Groups}, 8 volume = {49}, 9 year = {2011}, 10 } 11 12 @article{korkmaz, 13 author = {Korkmaz, Mustafa}, 14 doi = {10.1112/topo.12305}, 15 issn = {1753-8416}, 16 journal = {Journal of Topology}, 17 keywords = {57K20,20F38}, 18 language = {English}, 19 number = {3}, 20 pages = {899--935}, 21 title = {Low-dimensional Linear Representations of Mapping Class Groups}, 22 volume = {16}, 23 year = {2023}, 24 } 25 26 @article{funar, 27 author = {Funar, Louis}, 28 doi = {10.1090/S0002-9939-2010-10555-5}, 29 journal = {Proceedings of the American Mathematical Society}, 30 language = {English}, 31 number = 1, 32 pages = {375--382}, 33 title = {Two Questions on Mapping Class Groups}, 34 volume = {139}, 35 year = {2011}, 36 } 37 38 @article{franks-handel, 39 author = {Franks, John and Handel, Michael}, 40 doi = {10.1090/S0002-9939-2013-11556-X}, 41 issn = {0002-9939}, 42 journal = {Proceedings of the American Mathematical Society}, 43 number = 9, 44 pages = {2951--2962}, 45 title = {Triviality of Some Representations of $\operatorname{MCG}(S_g)$ in $GL(n, \mathbb{C})$, $\operatorname{Diff}(S^2)$ and $\operatorname{Homeo}(\mathbb{T}^2)$}, 46 volume = {141}, 47 year = {2013}, 48 } 49 50 @article{kasahara, 51 author = {Kasahara, Yasushi}, 52 doi = {10.1090/tran/9037}, 53 issn = {1088-6850}, 54 journal = {Transactions of the American Mathematical Society}, 55 month = oct, 56 number = 2, 57 pages = {1183--1218}, 58 publisher = {American Mathematical Society (AMS)}, 59 title = {Crossed homomorphisms and low dimensional representations of mapping class groups of surfaces}, 60 volume = {377}, 61 year = {2023}, 62 } 63 64 @article{korkmaz-mccarthy, 65 author = {Korkmaz, Mustafa and McCarthy, John D.}, 66 doi = {10.1017/S0305004199004259}, 67 journal = {Mathematical Proceedings of the Cambridge Philosophical Society}, 68 number = 1, 69 pages = {35--53}, 70 title = {Surface mapping class groups are ultrahopfian}, 71 volume = {129}, 72 year = {2000}, 73 } 74 75 @article{artin, 76 author = {Artin, Emil}, 77 doi = {10.2307/1969218}, 78 issn = {0003-486X}, 79 journal = {The Annals of Mathematics}, 80 month = jan, 81 number = 1, 82 pages = {101--126}, 83 title = {Theory of Braids}, 84 volume = {48}, 85 year = {1947}, 86 } 87 88 @article{birman-hilden, 89 ISSN = {0003486X}, 90 author = {Birman, Joan and Hilden, Hugh}, 91 journal = {Annals of Mathematics}, 92 number = 3, 93 pages = {424--439}, 94 publisher = {Annals of Mathematics}, 95 title = {On Isotopies of Homeomorphisms of Riemann Surfaces}, 96 volume = {97}, 97 year = {1973}, 98 } 99 100 @article{wajnryb, 101 author = {Wajnryb, Bronislaw}, 102 doi = {10.1007/bf02774014}, 103 issn = {1565-8511}, 104 journal = {Israel Journal of Mathematics}, 105 month = jun, 106 number = {2--3}, 107 pages = {157--174}, 108 title = {A simple presentation for the mapping class group of an orientable surface}, 109 volume = 45, 110 year = {1983}, 111 } 112 113 @article{lickorish, 114 author = {Lickorish, William Bernard Raymond}, 115 doi = {10.1017/s030500410003824x}, 116 issn = {1469-8064}, 117 journal = {Mathematical Proceedings of the Cambridge Philosophical Society}, 118 month = oct, 119 number = {4}, 120 pages = {769--778}, 121 publisher = {Cambridge University Press (CUP)}, 122 title = {A finite set of generators for the homeotopy group of a $2$-manifold}, 123 volume = {60}, 124 year = {1964}, 125 } 126 127 @article{witten, 128 author = {Witten, Edward}, 129 doi = {10.1007/bf01217730}, 130 issn = {1432-0916}, 131 journal = {Communications in Mathematical Physics}, 132 month = sep, 133 number = {3}, 134 pages = {351--399}, 135 publisher = {Springer Science and Business Media LLC}, 136 title = {Quantum field theory and the Jones polynomial}, 137 volume = {121}, 138 year = {1989}, 139 } 140 141 @article{reshetikhin-turaev, 142 title = {Invariants of $3$-manifolds via link polynomials and quantum groups}, 143 volume = {103}, 144 issn = {1432-1297}, 145 doi = {10.1007/bf01239527}, 146 number = {1}, 147 journal = {Inventiones Mathematicae}, 148 publisher = {Springer Science and Business Media LLC}, 149 author = {Reshetikhin, Nicolai and Turaev, Vladimir Georgievich}, 150 year = {1991}, 151 month = dec, 152 pages = {547--597}, 153 } 154 155 @article{rado, 156 author = {Rad{\'o}, Tibor}, 157 journal = {Acta Litt. Sci. Szeged}, 158 number = {101-121}, 159 pages = {10}, 160 title = {{\"U}ber den begriff der riemannschen fl{\"a}che}, 161 volume = {2}, 162 year = {1925}, 163 } 164 165 @article{thomassen, 166 author = {Thomassen, Carsten}, 167 doi = {10.2307/2324180}, 168 issn = {0002-9890}, 169 journal = {The American Mathematical Monthly}, 170 month = feb, 171 number = {2}, 172 pages = {116}, 173 publisher = {JSTOR}, 174 title = {The Jordan-Schonflies Theorem and the Classification of Surface}, 175 volume = {99}, 176 year = {1992}, 177 } 178 179 @article{gervais, 180 title = {Presentation and central extensions of mapping class groups}, 181 volume = {348}, 182 ISSN = {1088-6850}, 183 DOI = {10.1090/s0002-9947-96-01509-7}, 184 number = 8, 185 journal = {Transactions of the American Mathematical Society}, 186 author = {Gervais, Sylvain}, 187 year = {1996}, 188 pages = {3097--3132} 189 } 190 191 @article{bigelow-budney, 192 author = {Bigelow, Stephen and Budney, Ryan}, 193 doi = {10.2140/agt.2001.1.699}, 194 issn = {1472-2747}, 195 journal = {Algebraic \& Geometric Topology}, 196 month = nov, 197 number = 2, 198 pages = {699--708}, 199 title = {The mapping class group of a genus two surface is linear}, 200 volume = {1}, 201 year = {2001}, 202 } 203 204 @article{korkmaz-linearity, 205 author = {Mustafa Korkmaz}, 206 journal = {Turkish Journal of Mathematics}, 207 pages = {367--371}, 208 title = {On the Linearity of Certain Mapping Class Groups}, 209 url = {https://journals.tubitak.gov.tr/math/vol24/iss4/5/}, 210 volume = {24}, 211 year = {2000}, 212 } 213 214 @book{kerekjarto, 215 author = {Kerékjártó, Béla}, 216 doi = {10.1007/978-3-642-50825-7}, 217 isbn = {9783642508257}, 218 publisher = {Springer}, 219 title = {Vorlesungen \"{u}ber Topologie}, 220 year = {1923}, 221 } 222 223 @incollection{julien, 224 author = {Marché, Julien}, 225 booktitle = {Topology and geometry. A collection of essays dedicated to Vladimir G. Turaev}, 226 doi = {10.4171/IRMA/33-1/7}, 227 isbn = {978-3-98547-001-3; 978-3-98547-501-8}, 228 language = {English}, 229 pages = {109--130}, 230 publisher = {European Mathematical Society}, 231 title = {Introduction to Quantum Representations of Mapping Class Groups}, 232 year = {2021}, 233 } 234 235 @inproceedings{costantino, 236 author = {Costantino, Francesco}, 237 booktitle = {Winter Braids Lecture Notes}, 238 doi = {10.5802/wbln.7}, 239 issn = {2426-0312}, 240 month = feb, 241 pages = {1--45}, 242 publisher = {Cellule MathDoc/CEDRAM}, 243 title = {Notes on Topological Quantum Field Theories}, 244 volume = {2}, 245 year = {2015}, 246 } 247 248 @book{hatcher, 249 author = {Hatcher, Allen}, 250 edition = {1}, 251 isbn = {9780521795401; 0521795400}, 252 language = {English}, 253 publisher = {Cambridge University Press}, 254 title = {Algebraic Topology}, 255 year = {2001}, 256 }