Bott-Tu 輪講 - Skype数学勉強会【4/18更新】

日時
　　毎週木曜 22:00～23:30 (2017/9/7開始)
テキスト
　　Bott-Tu, Differential Forms in Algebraic Topology
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参加方法
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活動報告

2017/09/07 p. 1 Introduction (門間) WB
2017/09/14 Chapter I- (山上) WB
2017/09/21 p. 16 example 1.5- (Math) WB
2017/09/28 p. 17 exercise- (Math), compact support- (門間) WB
2017/10/5 p. 19 §2 The Mayer-Vietoris Sequence- (山上) WB
2017/10/12 p. 20 "The functor Ω* may be extended" - (Math) WB
2017/10/26 p. 22 The Mayer Vietoris sequence - (門間) WB
2017/11/2 example 2.6 (門間)、p. 25 The Functor Ω_c^* and the Mayers-Vietoris Sequence for Compact Supports - (山上)
2017/11/9 p. 26 proposition 2.7 - (山上) WB
2017/11/16 p. 27 §3- (Math) WB
2017/11/23 p. 29 §Any two global... (門間) WB
2017/11/30 p. 31 Stokes' Theorem (山上) WB
2017/12/07 p. 33 Poincaré Lemmas- (Math) WB
2017/12/14 p. 35 "Consider more generally..."- (門間) WB
2017/12/21 p.前回の補足、p. 37 exercise 4.3.1 (門間) WB
2017/12/28 p. 37 The Poincare Lemma for compactly supported cohomology- (山上) WB
2018/01/04 p. 39 Proposition 4.7- (山上) WB
2018/01/11 p. 40 exercise 4.8-(山上)、The Degree of a Proper Map- (Math) WB1 WB2
2018/01/18 p. 41 So to show -(門間) WB1 WB2
2018/02/01 p. 42 §5 The Mayer-Vietoris Argument -(山上) WB
2018/02/08 p. 43 Given two covers...(Math) WB+
2018/02/22 p. 44 Poincaré Duality on an Orientable Manifild (門間) WB
2018/03/01 Remark 5.7 (門間) WB, Lemma used in the proof of th. 5.1 (山上) WB
2018/03/08 Lemma used in the proof of th. 5.1 (cont.) (山上) WB
2018/03/15 Corollary 5.8 (門間) WB
2018/03/22 p.49 l5- (山上) WB
2018/04/12 p.50 th. 5.11- (門間)
2018/04/19 p. 50 exercise 5.12 (門間) WB
2018/05/03 p. 50 P.D. of compact closed submfds. WB
2018/05/10 (山上) exercise-example 5.16 WB
2018/05/17 §5残り(山上) WB
2018/05/24 §6-(門間) WB
2018/06/07 p. 56 Operations on Vector Bundles-(山上) WB
2018/06/14 p. 56 pullbacks of vector bundles (門間) WB
2018/06/21 p. 57 th. 6.8 (門間) WB Remark- (山上) WB
2018/06/28 p. 60- (山上) WB
2018/07/05 p. 62 Prop. 6.14.1- (門間) WB
2018/07/12 p. 63 Prop. 6.16- (山上) WB
2018/07/19 p. 65 Poincaré duality and the Thom class- (門間) WB
2018/07/26 p. 68 "Using "... (山上) WB
2018/08/02 p. 69 "Assume M to be ..." (山上) WB
2018/08/09 p. 70 The Global Angular Form, the Euler Class, and the Thom Class (門間) WB
2018/08/23 p. 73 "The Euler class of..." (山上) WB
2018/09/06 exercise 6.43- (山上、門間) WB1 WB2
.2018/09/13 example 6.44.1- (門間) WB
2018/09/20 exercise 6.46- (山上) WB
2018/09/27 §7 The Nonorientable Case (門間) WB
2018/10/04 prop. 7.3(b), exercise 6.10 (門間)WB1 exercise 6.46 (山上) WB2
2018/10/11 prop. 7.4- (山上) WB
2018/10/18 p. 84残り(山上) WB prop. 7.5- (門間) WB
2018/10/25 p. 86 theorem 7.7- (門間) WB
2018/11/01 p. 87 Corollary 7.8.1 途中- (門間) WB
2018/11/15 p. 89 chapter II (山上) WB
2018/11/22 p. 92 Generalization to Countably Many Open ]sets and Applications- (門間) WB
2018/12/13 p. 97 "The proof of..." (山上) WB
2018/12/20 p. 101 example 9.3- (門間) WB
2019/01/10 p. 105 The Tic-Tac-Toe Proof of Kunneth Formula- (山上) WB
2019/01/17 p. 108- step 2. (山上) WB
2019/01/24 §10- (門間) WB
2019/01/31 p. 112-（門間） WB
2019/02/14 p. 112 (門間) WB p. 113 §11 Sphere Bundles - （山上） WB
2019/02/21 p. 114 Orientability 続き (山上) WB
2019/02/28 Rem. 11.3- (山上） WB、p. 116 The Euler Class of an Oriented Sphere Bundle- (門間) WB
p. 119 Prop. 11.6- (門間) WB
2019/03/28 p. 121 The Global Angular Form (山上)WB
2019/04/25 p. 122 Euler Number and the Isolated Singularities of a Section (門間) WB
5/16 p. 123 "Suppose s is a section of..." (山上) WB
2019/06/06 復習回(Orientation) (門間) WB
2019/06/13 復習回その２(山上) WB
2019/06/20 p. 125 "This theorem..." (門間) WB
2019/06/27 p. 126 Euler Characteristic class and the Hopf Index Theorem (山上) WB
2019/07/18 前々回残り+p.128- (門間) WB
2019/07/25 p. 128- (門間）WB
2019/08/08 §12- (山上) WB
2019/08/22 2019/08/15 p. 130 "By the Poincare lemma..." (門間) WB
2019/09/12 p. 132 prop. 12.3- (山上) WB
2019/09/19 p. 133 Euler Class and the Zero Loscus of a Section (門間) WB
2019/09/26 p. 135 A Tic-Tac-Toe Lemma (山上) WB
2019/10/17 p. 136 "Next we define..." (門間) WB
2019/10/24 (山上) p. 138 Poincare duality- WB
2019/11/14 p. 140- "Consider..." (門間) WB
2019/11/28 p. 141 13. Monodromy (山上) WB
2019/12/05 p. 142- "Next ..." (門間) WB
2020/01/16 Croom BCoAT p. 43- (門間) WB
2020/01/23 Seifert-Threlfall p. 163- (門間) WB
2020 02/13 p. 151 Examples of Monodromy- (山上) WB
2020 02/20 p. 154 chapter 3 - (門間) WB
2020 03/05 p. 158- (山上) WB
2020 03/12 p. 158- (門間) WB
2020 03/19 p. 159- (山上) WB
2020 03/26 p. 160- (山上) WB
2020 04/09 p. 161- (門間) WB
2020 04/16 p. 162 eq. (14.9) (門間) WB
2020 04/30 p. 162 (山上) WB
2020 05/21 p. 162 (山上) WB
2020 06/04 p. 162 (山上) WB
2020 06/25 p. 163 (門間) WB
2020 07/09 p. 158復習、p. 166- (山上) WB
2020 07/23 p. 166- (山上) WB
2020 08/06 p. 168- (山上) WB
2020 08/27 p. 169- (門間) WB
2020 09/03 p. 170- (門間) WB
2020 09/24 p. 170- (門間) WB Lemma for exercise 14.7.3 (山上) WB
2020 10/01 p. 169 exercise 14.17.4 (山上) WB1 WB2
2020 10/22 p. 171 remark 14.20 (門間) WB
2020 10/29 p. 171 example 14.21 (山上) WB
2020 11/12 p. 172- (山上) WB
2020 11/26 p. 173- (門間) WB
2020 12/03 p. 174- (山上) WB
2020 12/10 p. 174- (門間) WB
2020 12/24 p. 175- (山上) WB
2021 01/15 p. 177- (門間) WB
2021 01/21 p. 179- (門間) WB
2021 02/11 d_{k+1}の計算に関して (かずさん) WB
2021 02/25 p. 179 exercise 14.33.1 (かずさん) WB
2021 03/04 exercise 14.33.1 続き (門間) WB
2021 03/18 p. 179 Leray's Construction (山上) WB
2021 03/25 p. 182 (かずさん) WB
2021 04/01 p. 182- (門間) WB WB改定版
2021 04/08 p. 184- (山上) WB
2021 04/22 p. 185- (門間) WB
2021 05/13 p. 188- (山上) WB
2021 05/27 p. 190- (門間) WB (山上) WB
2021 06/10 p. 190- (門間) WB
2021 07/01 p. 191- (山上) WB
2021 07/15 p. 192- (門間) WB WB2
2021 07/22 p. 193 (山上) WB
2021 07/29 p. 194 (山上) WB
2021 08/05 p. 194 (山上) WB 門間 p. 195 WB
2021 08/12 p. 195 (門間) WB
2021 08/26 p. 196 (山上) WB
2021 09/16 p. 197 (門間) WB
2021 11/04 p. 200 (門間) WB1 WB2
2021 12/02 p. 203 (山上) WB
2021 12/16 p. 204 (門間) WB
2022 01/13 p. 206 (山上) WB
2022 01/27 p. 208 (門間) WB
2022 02/10 Rotman J.J."An Introduction to Algebraic Topology" p. 313- (門間) WB
2022 03/24 p. 211 (門間) WB
2022 04/14 p. 212 (山上) WB
2022 05/05 p. 214 (門間) WB
2022 05/19 p. 217 (山上) WB
2022 05/26 p. 218 (山上) WB
2022 06/09 p. 219 (門間) WB
2022 06/23 p. 223 (山上) WB
2022 07/07 p. 224 (門間) WB
2022 07/21 p. 225 (門間) WB
2022 08/04 p. 227 (山上) WB
2022 08/18 p. 229 (門間) WB
2022 08/25 p. 231 (門間) WB
2022/09/08 p. 234 (山上) WB
2022/09/15 p. 229 exercise (門間) WB
2022/09/29 p. 239 (山上) WB
2022/10/20 p. 241 (門間) WB
2022/11/03 p. 243 (山上) WB
2023/01/05 p. 244 (門間) WB1 WB2
2023/01/12 p. 246 (門間) WB
2023/01/26 p. 247 (山上) WB
2023/02/09 p. 248 (山上) WB
2023/02/16 p. 248 (山上) WB
2023/04/13 p. 245 (門間) WB
2023/05/19 p. 250 (山上) WB
2023/06/22 p. 251 (門間) WB
2023/07/13 p. 252 (山上) WB
2023/08/03 p. 254 (山上) WB
2023/08/10 p. 255 (山上) WB
2023/09/21 p. 256 (門間) WB
2023/09/28 p. 258 (山上) WB (これ以降予習が大変なので、予習を前提とせず毎週二人で読み合せる形式に変更)
2023/11/02 p. 262 WB
2023/11/23 p. 267 WB
2023/12/14 p. 267 WB
2024/01/25 p. 270 WB
2024/02/01 p. 270 WB
2024/04/18 p. 282 WB

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