منابع مشابه
Characteristic Classes
These are lecture notes for a series of five lectures I gave to other graduate students about characteristic classes through UT Austin’s summer minicourse program (see https://www.ma.utexas.edu/users/ richard.wong/Minicourses.html for more details). Beware of potential typos. In these notes I cover the basic theory of Stiefel-Whitney, Wu, Chern, Pontrjagin, and Euler classes, introducing some i...
متن کاملCohomology and Characteristic Classes
We prove Poincar e Duality for L p cohomology, 1 p 1 We study the pairings between L p and L 1 and construct characteristic classes.
متن کاملExercises on characteristic classes
1. a) Compute the Stiefel-Whitney classes of the tangent bundle of RP . (Use the method from class for the tangent Chern classes of complex projectives spaces.) b) Conclude that if the tangent bundle is trivial, then n = 2 − 1 for some m. (In fact n must be 0, 1, 3, 7, but this is much harder to prove; one proof uses the Bott periodicity theorem.) c) Deduce (very easily!) a complete characteriz...
متن کاملCharacteristic Classes of Complex Hypersurfaces
The Milnor-Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincaré dual of the) Hirzebruch class of the virtual tangent bundle of X and, respectively, the Brasselet-Schürmann-Yokura (homology) Hirzebruch class of X. In this note, we calculate the Milnor-Hirzebruch class of a globally defined algebraic hypersurface X in terms...
متن کاملOn Uniqueness of Characteristic Classes
We give tools to compare different maps from algebraic K-theory. The results apply in particular to group morphisms from K-theory to any suitable cohomology theory or to K-theory. In particular, we obtain a characterization of the Chern character and of the Adams operations on higher K-theory.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transformation Groups
سال: 2018
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-018-9492-7