語系:
繁體中文
English
說明(常見問題)
回圖書館首頁
手機版館藏查詢
登入
回首頁
切換:
標籤
|
MARC模式
|
ISBD
The Atiyah-Bott theorem for algebrai...
~
Kotov, Vladimir.
FindBook
Google Book
Amazon
博客來
The Atiyah-Bott theorem for algebraic surfaces.
紀錄類型:
書目-語言資料,印刷品 : Monograph/item
正題名/作者:
The Atiyah-Bott theorem for algebraic surfaces./
作者:
Kotov, Vladimir.
面頁冊數:
44 p.
附註:
Source: Dissertation Abstracts International, Volume: 74-07(E), Section: B.
Contained By:
Dissertation Abstracts International74-07B(E).
標題:
Mathematics. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3556623
ISBN:
9781267988638
The Atiyah-Bott theorem for algebraic surfaces.
Kotov, Vladimir.
The Atiyah-Bott theorem for algebraic surfaces.
- 44 p.
Source: Dissertation Abstracts International, Volume: 74-07(E), Section: B.
Thesis (Ph.D.)--Northwestern University, 2013.
Following D. Gaitsgory, we give a conceptual proof of a classical result of Atiyah and Bott about the cohomology ring of a moduli space Bun G of G-principal bundles on an algebraic curve. We write down its cohomology as a chiral homology of a certain very natural chiral algebra on the curve. And then we compute this chiral homology using various methods developed by Gaitsgory, Beilinson and Drinfeld.
ISBN: 9781267988638Subjects--Topical Terms:
515831
Mathematics.
The Atiyah-Bott theorem for algebraic surfaces.
LDR
:01725nam a2200289 4500
001
1964688
005
20141010092803.5
008
150210s2013 ||||||||||||||||| ||eng d
020
$a
9781267988638
035
$a
(MiAaPQ)AAI3556623
035
$a
AAI3556623
040
$a
MiAaPQ
$c
MiAaPQ
100
1
$a
Kotov, Vladimir.
$3
2101185
245
1 4
$a
The Atiyah-Bott theorem for algebraic surfaces.
300
$a
44 p.
500
$a
Source: Dissertation Abstracts International, Volume: 74-07(E), Section: B.
500
$a
Adviser: Kevin Costello.
502
$a
Thesis (Ph.D.)--Northwestern University, 2013.
520
$a
Following D. Gaitsgory, we give a conceptual proof of a classical result of Atiyah and Bott about the cohomology ring of a moduli space Bun G of G-principal bundles on an algebraic curve. We write down its cohomology as a chiral homology of a certain very natural chiral algebra on the curve. And then we compute this chiral homology using various methods developed by Gaitsgory, Beilinson and Drinfeld.
520
$a
We give an analog of this result for the two-dimensional case, where we use a Hilbert scheme of a surface in place of BunG. That is, we compute the cohomology of the Hilbert scheme in a very similar manner as we did for curves. We notice that the Hilbert scheme factorizes similarly to Beilinson-Drinfeld Grassmanian. Using this factorization structure, we find a chiral algebra on our surface, whose chiral homology is the cohomology ring of the Hilbert scheme.
590
$a
School code: 0163.
650
4
$a
Mathematics.
$3
515831
650
4
$a
Applied Mathematics.
$3
1669109
690
$a
0405
690
$a
0364
710
2
$a
Northwestern University.
$b
Mathematics.
$3
1280008
773
0
$t
Dissertation Abstracts International
$g
74-07B(E).
790
$a
0163
791
$a
Ph.D.
792
$a
2013
793
$a
English
856
4 0
$u
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3556623
筆 0 讀者評論
館藏地:
全部
電子資源
出版年:
卷號:
館藏
1 筆 • 頁數 1 •
1
條碼號
典藏地名稱
館藏流通類別
資料類型
索書號
使用類型
借閱狀態
預約狀態
備註欄
附件
W9259687
電子資源
11.線上閱覽_V
電子書
EB
一般使用(Normal)
在架
0
1 筆 • 頁數 1 •
1
多媒體
評論
新增評論
分享你的心得
Export
取書館
處理中
...
變更密碼
登入