Homology of gauge groups associated with special unitary groups
- 作者：Younggi Choi
- 关键词：Gauge group ; Iterated loop space ; Unitary group ; Serre spectral sequence ; Eilenberg– ; Moore spectral sequence
- 刊名：Topology and its Applications
- 出版年：2008
- 期刊代码：60_01668641
- 类别：mt
- 出版时间：15 June 2008
- 卷：155
- 期：12
- 页码：1340-1349
- 文件大小：201 K
摘要
We study the homology of gauge groups associated with principal decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V1K-4SBRTH5-4&_mathId=mml1&_user=1067359&_cdi=5677&_rdoc=8&_acct=C000050221&_version=1&_userid=10&md5=49b19595e2bfe8447c2baa0cf71258b9" title="Click to view the MathML source" alt="Click to view the MathML source">SU(n) bundles over the four-sphere. After computing the mod p homology of based gauge groups of decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V1K-4SBRTH5-4&_mathId=mml2&_user=1067359&_cdi=5677&_rdoc=8&_acct=C000050221&_version=1&_userid=10&md5=178ca85d1fdeac00e07e906c5ff204cd" title="Click to view the MathML source" alt="Click to view the MathML source">SU(n) by combined use of the Serre spectral sequence and the Eilenberg–Moore spectral sequence, we compute the modp homology of gauge groups of decoration:none; color:black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V1K-4SBRTH5-4&_mathId=mml3&_user=1067359&_cdi=5677&_rdoc=8&_acct=C000050221&_version=1&_userid=10&md5=c95a81f6a877def04e35ec1fdb178c27" title="Click to view the MathML source" alt="Click to view the MathML source">SU(n) using the Serre spectral sequence for the evaluation fibration.