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18 Jan 2021: 24. E-homology. Combining the vanishing line for E-homology with calculations ofSuslin for GL2(A), we obtain the following chart for E-homology:.

12 Jan 2021: INVERSE PROBLEMS FOR CONNECTIONS. GABRIEL P. PATERNAIN. Abstract. We discuss various recent results related to the inverse problem ofdetermining a unitary connection from its parallel transport along geodesics. 1. Introduction. Let (M,g) be a

15 Oct 2021: g|t=0 = dt2 h (3.24)tg|t=0 = 2k (3.25). provided > 0 is sufficiently small. ... 5. To establish local uniqueness we show that given any development of (Σ,h,k) itis possible to construct wave coordinates such that (3.24), (3.25) hold.

15 Oct 2021: 24 Chapter 2 Distributions. 2.2 Derivatives of distributions. Things are looking good for Property ii) because the dual space to a vector space isnaturally a vector space.

21 Sep 2021: 24) 2{i,j,b1,. ,bs, i} 4{i, i,b1,. ,bs,j} 2{j,i,b1,. ,bs, i} = 4A(i,j).If r,s > 1 then we instead obtain. ... bs by a2,. ,ar,a1in (24). This gives the factor (1)r. We deduce the result for [[ ]] from that for [ ] as before.

15 Oct 2021: Definition 24. Suppose M is at least k 1 regular. i) A Ckvector field is a Ckmap X : M TM such that at every point p M, wehave X(p)

15 Oct 2021: A spacetime is a four dimensional Lorentzian manifold. 24. 2.1 The metric and causal geometry 25. ... 2.24). Taking (2.22)(2.23)(2.24) and noting a cancellation between terms with onederivative falling on Z and one on W , we arrive at the result.

18 Jun 2021: Theorem 2.6.7. (Seifert) 2g(K) > deg K(t). 24 Knots, Polynomials, and Categorification.

8 Oct 2021: MOTIVIC COHOMOLOGY OF QUATERNIONIC SHIMURA VARIETIES ANDLEVEL RAISING. COHOMOLOGIE MOTIVIQUE DES VARIÉTÉS DE SHIMURAQUATERNIONIQUE ET AUGMENTATION DU NIVEAU. RONG ZHOU. Abstract. We study the motivic cohomology of the special fiber of quaternionic

15 Oct 2021: 24 Chapter 2 Integration. An important property of the integral is that it is linear:.