References
SHOWING 1-10 OF 38 REFERENCES
Homotopy finiteness of some DG categories from algebraic geometry
- Mathematics
- 2013
In this paper, we prove that the bounded derived category $D^b_{coh}(Y)$ of coherent sheaves on a separated scheme $Y$ of finite type over a field $\mathrm{k}$ of characteristic zero is homotopically…
Cyclic homology of categories of matrix factorizations
- Mathematics
- 2012
In this paper, we will show that for a smooth quasi-projective variety over $\C,$ and a regular function $W:X\to \C,$ the periodic cyclic homology of the DG category of matrix factorizations…
The cyclotomic trace and algebraic K-theory of spaces
- Mathematics
- 1993
The cyclotomic trace is a map from algebraic K-theory of a group ring to a certain topological refinement of cyclic homology. The target is naturally mapped to topological Hochschild homology, and…
HOMOLOGY THEORIES FOR MULTIPLICATIVE SYSTEMS
- Mathematics
- 1951
with d[x]=0. It is convenient to augment ^4°(II) by regarding the commutator quotient group 11/ [II, II] as the group of O-dimensional chains, with d[x]=x[n, TI]. The complex ^4°(I1) occurs in a…
Hochschild (co)homology of the second kind I
- Mathematics
- 2012
We define and study the Hochschild (co)homology of the second kind (known also as the Borel-Moore Hochschild homology and the compactly supported Hochschild cohomology) for curved DG-categories. An…
Topological Hochschild Homology
- Mathematics
- 2000
In the appendix to [20] Waldhausen discussed a trace map tr:K(R)→HH(R), from the algebraic K‐theory of a ring to its Hochschild homology, which can be used to obtain information about K(R) from…
Autour de la cohomologie de MacLane des corps finis
- Mathematics
- 1994
SummaryA new way of computing MacLane cohomology of finite fields is described. Closely related to this theory are L. Breen's “extensions du groupe additif” and M. Bökstedt's topological Hochschild…