<ruby id="d9npn"></ruby>

      <sub id="d9npn"><progress id="d9npn"></progress></sub>

      <nobr id="d9npn"></nobr>

      <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

      <th id="d9npn"><meter id="d9npn"></meter></th>

      All Questions

      Filter by
      Sorted by
      Tagged with
      2
      votes
      0answers
      129 views

      $\omega$-categorical algebra

      Let us consider a 1-category $C$. For any commutative and unital ring $k$ the the free $k$-module generated by the morphisms of $C$ can be equipped with an algebra structure by setting $fg$ to be ...
      3
      votes
      0answers
      180 views

      Cell structure on $B\mathbb{G}$ and the bar resolution of $\mathbb{G}$

      Consider $\mathbb{G}$, which can be viewed as a group, as well as a 2-group. (For example, given a short exact sequence $$ 1 \to BG_2 \to \mathbb{G} \to G_1 \to 1 $$ and the fiber sequence: $$ B^2G_2 ...
      2
      votes
      2answers
      184 views

      Spelling out explicitly the data of a two step filtration in terms of pieces and gluing data

      Let $V$ be an object of some stable infinity category (nothing is lost by taking spectra but I see no reason to state the question in this way as it is irrelevant) and suppose we have a two step ...
      62
      votes
      2answers
      5k views

      What is Homology anyway?

      Disclaimer: I don't feel qualified to ask this question and yet it's been troubling me for some time now and I lost my patience and decided to ask to get some kind of answer. If there are any stupid ...
      3
      votes
      0answers
      48 views

      Can one relate $K_0$ of an $A_\infty$-category $\mathcal A$ to $K_0(Fun_{A_\infty}(\mathcal A, \mathcal A))$?

      For an $A_\infty$-category $\mathcal A$, one defines the group $K_0(\mathcal A)$ by $$K_0(\mathcal A) := \mathbb Z \operatorname{Ob} \operatorname{Tw} \mathcal A / \left<[A]+[B]-[C]\right>$$ ...
      7
      votes
      0answers
      226 views

      Identifying and reconstructing the derived category from its auto-equivalences

      Background: Given a smooth irreducible algebraic variety $Y$ with $\omega_Y$ or $\omega_Y^{-1}$ ample. Then Bondal-Orlov theorem states that if there exists any other smooth algebraic variety $Y'$ ...
      2
      votes
      0answers
      108 views

      homotopy quotient categories [closed]

      (Trying to rephrase an earlier question) In topology, a continuous map $f: X \to Y$ has a ``homotopy cofiber" $Cf$ included in a cofiber sequence $$ X \to Y \to Cf \to \Sigma X \to \Sigma Y \to \...
      6
      votes
      1answer
      228 views

      Switching left and right adjoints in recollement situations

      In Fascieaux pervers, Beilinson, Bernstein and Deligne define a recollement situation as a triple of triangulated categories $\mathcal{D}_U,\mathcal{D}_F$ and $\mathcal{D}$, together with functors $$ ...
      5
      votes
      2answers
      273 views

      Do $RHom(C,D)$ and $DG(C,D)$ have equivalent homotopy categories?

      Toen in The homotopy theory of dg-categories and derived Morita theory Section 6 introduced the internal Hom's between dg-categories. Actually for two dg-categories $C$ and $D$, Toen defined $$ RHom(C,...
      9
      votes
      1answer
      433 views

      derived categories as presentable DG-categories

      Let $A$ be a ring. Is it true that the DG category of unbounded complexes of $A$-modules, localized by quasi-isomorphisms, is cocomplete and compactly generated? What would be a reference for that and ...
      1
      vote
      0answers
      79 views

      Reconstructing an isomorphism of exact triangles in the homotopy cat. of a dg-cat. using a functorially induced isomorphism between cones

      This question is strictly related to this other one. Let $\mathcal A$ be a (strongly) pretriangulated dg-category over a field $k$. Let (source: presheaf.com) be a diagram in $Z^0(\mathcal A)$, ...
      5
      votes
      2answers
      431 views

      Homotopy factorization of morphisms of chain complexes

      This is a sort of follow up to this MO question. Let $R$ be a ring (eventually with good properties) and $\mathrm{Chains}(R)$ be the category of chain complexes of $R$-modules (eventually bounded). ...
      2
      votes
      1answer
      311 views

      Could we extend the Atiyah class to the sheaf of poly-vector fields to get a Poisson bracket?

      Let $X$ be a complex manifold and $TX$ its tangent bundle. The Atiyah class $\alpha(E)\in \text{Ext}^1(E\otimes TX, E)$ for a vector bundle $E$ is defined to be the obstruction of the global existence ...
      13
      votes
      4answers
      1k views

      What is the relation between the Lie bracket on $TX$ as commutator and that coming from the Atiyah class?

      Let X be a complex manifold and $TX$ its tangent bundle. The Atiyah class $\alpha(E)\in \text{Ext}^1(E\otimes TX, E)$ for a vector bundle $E$ is defined to be the obstruction to the global existence ...
      8
      votes
      1answer
      340 views

      Analogue of cyclic homology for e_n-algebras?

      Cyclic homology may be defined as the primitive part (with respect to a natural product) of the homology of the Lie algebra associated with the "stabilization" of an associative algebra $A$. Here the "...

      15 30 50 per page
      特码生肖图
      <ruby id="d9npn"></ruby>

          <sub id="d9npn"><progress id="d9npn"></progress></sub>

          <nobr id="d9npn"></nobr>

          <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

          <th id="d9npn"><meter id="d9npn"></meter></th>

          <ruby id="d9npn"></ruby>

              <sub id="d9npn"><progress id="d9npn"></progress></sub>

              <nobr id="d9npn"></nobr>

              <rp id="d9npn"><big id="d9npn"><th id="d9npn"></th></big></rp>

              <th id="d9npn"><meter id="d9npn"></meter></th>

              全国第一盛兴彩票v1 重庆时时彩是正规彩票吗 传奇电子教室 福建时时软件手机版下载 三分彩app下线 手机破解版助赢pk10 吉林时时票 浙江快乐12推测 7月1日北向资金走势 235网络棋牌游戏