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Bundle theory
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1	Week 5 (due FebLet E be a real vector bundle of rank r with a connection ∇. Let ω be the corresponding connection 1-form defined on some trivializing neighborhood U . As explained in class, ∇ enables us to Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-02-05 13:39:31
2	Week 6 (due FebProblem 6.8 in Morita. 2. Consider a unit sphere S 2 in R3 . The tangent bundle to R3 is trivial and one can define a connection on it by letting ∇ Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-02-12 15:45:18
3	Week 1 (due AprilAs was explained during the winter quarter, to any line bundle (complex vector bundle of rank one) on a manifold M one can associate its first Chern class which takes values in H 2 (M, Z), and two Add to Reading List Source URL: www.theory.caltech.edu Language: English - Date: 2009-04-01 22:32:01
4	414 BOOK REVIEWS Lie groups, bundle theory and sheaves, but also is experienced enough to be able, for example, to figure out what kind of induced map is denoted by an Add to Reading List Source URL: www.ams.org - Date: 2010-01-14 12:46:08
5	CANONICAL SUBGROUPS VIA BREUIL-KISIN MODULES SHIN HATTORI Abstract. Let p > 2 be a rational prime and K/Qp be an extension of complete discrete valuation ﬁelds. Let G be a truncated BarsottiTate group of level n, heigh Add to Reading List Source URL: www2.math.kyushu-u.ac.jp Language: English Algebra Abstract algebra Mathematics Group theory Divisor Morphism of schemes Vector bundle Sheaf Order Algebraic geometry Isomorphism theorem
6	357 Documenta Math. Operational K -Theory Dave Anderson and Sam Payne Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2015-05-08 10:21:24 Algebra Abstract algebra Mathematics Algebraic geometry Coherent sheaf Equivariant K-theory K-theory Toric variety Equivariant sheaf Cohomology Vector bundle Sheaf
7	ANALYTIC ZARISKI STRUCTURES AND NON-ELEMENTARY CATEGORICITY BORIS ZILBER Abstract. We study analytic Zariski structures from the point of view of non-elementary model theory. We show how to associate an abstract elementa Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2016-01-12 10:43:42 Abstract algebra Algebra Mathematics Algebraic geometry Algebraic varieties Model theory Vector bundles Matroid theory Pregeometry Ample line bundle Morphism of algebraic varieties Dimension theory
8	971 Documenta Math. p-Jets Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2013-08-07 16:11:31 Algebra Abstract algebra Mathematics Ring theory Ring Polynomial ring Frobenius endomorphism Jet bundle F-algebra Witt vector Inverse limit Integral element
9	459 Documenta Math. K-Theory and the Enriched Tits Building To A. A. Suslin with admiration, on his sixtieth birthday. Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-06-21 16:08:30 Topology Mathematics Abstract algebra Homotopy theory Algebraic topology Simplicial set Simplicial map Nerve Equivariant cohomology Simplicial complex Fundamental group Universal bundle
10	1049 Documenta Math. A Lefschetz Fixed Point Formula for Singular Arithmetic Schemes Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2010-12-30 05:23:37 Mathematics Topology Mathematical analysis Differential geometry Connection Operator theory Equivariant sheaf ChernWeil homomorphism Cohomology Lefschetz fixed-point theorem Vector bundle Contraction

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