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  2. 16 Jan 2024: where. νabcd =1. 24. det(η)εabcd. The coordinates (w,z,w̃, z̃) are called double null coordinates. ... wγn = z̃γn1 and zγn = w̃γn1. (24). The Birkhoff factorization F = f̃1f is given by4.
  3. 16 Jan 2024: Kähler Manifolds and the Calabi Conjecture. Grigalius Taujanskas. Mathematical InstituteOxford University. Radcliffe Observatory QuarterOxford OX2 6GG, UK. Grigalius Taujanskas CONTENTS. Contents. 1 Introduction 2. 2 Preliminaries 22.1 Vector
  4. NUMBER FIELDS, LENT 2024 PÉTER P. VARJÚ Disclaimer,…

    https://www.dpmms.cam.ac.uk/~pv270/NumberFields.pdf
    8 Mar 2024: vd). Lemma 24. All fundamental domains of a lattice have the same vol-ume. ... We first prove half of the lastclaim. 24 PÉTER P. VARJÚ.
  5. CONGRUENCES BETWEEN MODULAR FORMS JACK A. THORNE Abstract. We ...

    https://www.dpmms.cam.ac.uk/~jat58/congruences.pdf
    11 Jan 2024: τ) = q. n=1. (1 qn)24. (also a modular form of weight 12 – in fact, E12, form a basis for the C-vectorspace M12(SL2(Z)) of modular forms of
  6. Algebraic TopologyOscar Randal-Williams…

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/at.pdf
    31 Jan 2024: 24 Chapter 3 Covering spaces. (iv) Let y U be another point, and u : I U a path from x to y.
  7. Part IB - Groups, Rings, and Modules

    https://www.dpmms.cam.ac.uk/~or257/teaching/notes/GRM.pdf
    31 Jan 2024: 24. Theorem. The alternating groups An are simple for n 5 (also for n = 2, 3).
  8. MAPPING CLASS GROUPS OF h-COBORDANT MANIFOLDS SAMUEL MUÑOZ-ECHÁNIZ…

    https://www.dpmms.cam.ac.uk/~sm2600/papers/Mapping%20class%20groups%20of%20h-cobordant%20manifolds.pdf
    5 Jun 2024: MAPPING CLASS GROUPS OF h-COBORDANT MANIFOLDS. SAMUEL MUÑOZ-ECHÁNIZ. ABSTRACT. We prove that the mapping class group is not an h-cobordism invariant of high-dimensional manifolds by exhibiting h-cobordant manifolds whose mapping class groups
  9. Part II Logic and Set Theory András Zsák Lent ...

    https://www.dpmms.cam.ac.uk/~az10000/2024-lent-partii-logic-and-set-notes.pdf
    29 May 2024: 24. Note. If f : X Y is order-preserving and injective, then x < y impliesf(x) < f(y).
  10. A WEISS–WILLIAMS THEOREM FOR SPACES OF EMBEDDINGSAND THE HOMOTOPY ...

    https://www.dpmms.cam.ac.uk/~sm2600/papers/A%20Weiss-Williams%20result%20for%20embedding%20spaces%20and%20spaces%20of%20long%20knots.pdf
    5 Jun 2024: A WEISS–WILLIAMS THEOREM FOR SPACES OF EMBEDDINGSAND THE HOMOTOPY TYPE OF SPACES OF LONG KNOTS. SAMUEL MUÑOZ-ECHÁNIZ. ABSTRACT. We establish a pseudoisotopy result for embedding spaces in the line of that of Weiss and Williamsfor

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