作者 Lin, Francesco, 1988- author
書名 A Morse-Bott approach to monopole Floer homology and the triangulation conjecture / Francesco Lin
出版項 Providence, RI : American Mathematical Society, 2018
2018
國際標準書號 9781470429638
1470429632
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  QA612.3 L55 2018    在架上    30340200561250
說明 v, 162 pages ; 26 cm
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
系列 Memoirs of the American Mathematical Society, 0065-9266 ; number 1221
Memoirs of the American Mathematical Society ; no. 1221
附註 "September 2018. Volume 255. Number 1221 (fourth of 7 numbers)."
Includes bibliographical references
Introduction -- Basic setup -- The analysis of Morse-Bott singularities -- Floer homology for Morse-Bott singularities -- Pin(2)-monopole Floer homology
"In the present work we generalize the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped with a spin[superscript]c structure which is isomorphic to its conjugate, we define the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, we provide an alternative approach to his disproof of the celebrated Triangulation conjecture."--Page v
主題 Floer homology
Triangulation
Manifolds (Mathematics)