Papers and Preprints
36
: L. Hesselholt, P. Pstragowski,
Dirac geometry II: Coherent cohomology
, preprint 2023.
35
: L. Hesselholt,
Topological cyclic homology and the Fargues-Fontaine curve
. Cyclic cohomology at 40: achievements and future prospects, 197-210, Proc. Sympos. Pure Math., 105, Amer. Math. Soc., Providence, RI, 2023.
34
: L. Hesselholt, P. Pstragowski,
Dirac geometry I: Commutative algebra
,
Peking Math. J.
, published online.
33
: L. Hesselholt, T. Nikolaus,
Algebraic
K
-theory of planar cuspidal curves
,
K-Theory in Algebra, Analysis, and Topology (Buenos Aires, Argentina, 2018)
, pp. 139-148, Contemp. Math.
749
, Amer. Math. Soc., Providence, RI, 2020.
32
: L. Hesselholt, M. Larsen, A. Lindenstrauss,
On the
K
-theory of division algebras over local fields
,
Invent. Math.
219
(2020), 281-329.
31
: L. Hesselholt,
Topological Hochschild homology and the Hasse-Weil zeta function
,
An Alpine Bouquet of Algebraic Topology (Saas Almagell, Switzerland, 2016)
, pp. 157-180, Contemp. Math.
708
, Amer. Math. Soc., Providence, RI, 2018.
30
: L. Hesselholt,
On the
K
-theory of planar cuspical curves and a new family of polytopes
,
Algebraic Topology: Applications and New Directions (Stanford, CA, July 23-27, 2012),
pp. 145-182, Contemp. Math.
620
, Amer. Math. Soc., Providence, RI, 2014.
29
: A. J. Berrick, L. Hesselholt,
Topological Hochschild homology and the Bass trace conjecture
,
J. reine angew. Math.
704
(2015), 169-185.
28
: L. Hesselholt,
The big de Rham-Witt complex
,
Acta Math.
214
(2015), 135-207.
27
: T. Geisser, L. Hesselholt,
On a conjecture of Vorst
,
Math. Z.
270
(2012), 445-452.
26
: T. Geisser, L. Hesselholt,
On the vanishing of negative
K
-groups
,
Math. Ann.
348
(2010), 707-736.
25
: T. Geisser, L. Hesselholt,
On the relative and bi-relative
K
-theory of rings of finite characteristic
,
J. Amer. Math. Soc.
24
(2011), 29-49.
24
: V. Angeltveit, T. Gerhardt, L. Hesselholt,
On the
K
-theory of truncated polynomial algebras over the integers
,
J. Topol.
2
(2009), 277-294.
23
: L. Hesselholt,
On the Whitehead spectrum of the circle
,
Algebraic Topology. The Abel Symposium 2007. Proceedings of the Fourth Abel Symposium, Oslo, Norway, August 5-10, 2007
, pp. 131-184, Abel Symposia
4
, Springer-Verlag, Berlin, 2009.
22
: L. Hesselholt,
The tower of
K
-theory of truncated polynomial algebras
,
J. Topol.
1
(2008), 87-114.
21
: L. Hesselholt,
On the
K
-theory of the coordinate axes in the plane
,
Nagoya Math. J.
185
(2007), 93-109.
20
: L. Hesselholt,
On the topological cyclic homology of the algebraic closure of a local field
,
An Alpine Anthology of Homotopy Theory: Proceedings of the Second Arolla Conference on Algebraic Topology (Arolla, Switzerland, 2004)
, pp. 133-162, Contemp. Math.
399
, Amer. Math. Soc., Providence, RI, 2006.
19
: T. Geisser, L. Hesselholt,
Bi-relative algebraic
K
-theory and topological cyclic homology
,
Invent. Math.
166
(2006), 359-395.
18
: L. Hesselholt,
The absolute and relative de Rham-Witt complexes
,
Compositio Math.
141
(2005), 1109-1127.
17
: T. Geisser, L. Hesselholt,
The de Rham-Witt complex and
p
-adic vanishing cycles
,
J. Amer. Math. Soc.
19
(2006), 1-36.
16
: L. Hesselholt,
Galois cohomology of Witt vectors of algebraic integers
,
Math. Proc. Cambridge Philos. Soc.
137
(2004), 551-557.
15
: L. Hesselholt,
Algebraic
K
-theory and trace invariants
,
Proceedings of the International Congress of Mathematicians (Beijing 2002)
, pp. 415-425, World Scientific, Beijing, China, 2002.
14
: L. Hesselholt,
Topological Hochschild homology and the de Rham-Witt complex for
Z
(p)
-algebras
,
Homotopy theory: Relations with algebraic geometry, group cohomology, and algebraic
K
-theory (Evanston, IL, 2002)
, pp. 253-259, Contemp. Math.
346
, Amer. Math. Soc., Providence, RI, 2004.
13
: L. Hesselholt, I. Madsen,
On the de Rham-Witt complex in mixed characteristic
,
Ann. Sci. Ec. Norm. Sup.
37
(4) (2004), 1-43.
12
: T. Geisser, L. Hesselholt,
On the
K
-theory and topological cyclic homology of smooth schemes over a discrete valuation ring
,
Trans. Amer. Math. Soc.
358
(2006), 131-145.
11
: T. Geisser, L. Hesselholt,
On the
K
-theory of complete regular local
F
p
-algebras
,
Topology
45
(2006), 475-493.
10
: L. Hesselholt, I. Madsen,
On the
K
-theory of local fields
,
Ann. of Math.
158
(2003), 1-113.
9
: L. Hesselholt, I. Madsen,
On the
K
-theory of nilpotent endomorphisms
,
Homotopy methods in algebraic topology (Boulder, CO, 1999)
, pp. 127-140, Contemp. Math.,
271
, Amer. Math. Soc., Providence, RI, 2001.
8
: T. Geisser, L. Hesselholt,
Topological cyclic homology of schemes
,
Algebraic
K
-theory (Seattle, WA, 1997)
, pp. 41-87, Proc. Sympos. Pure Math.,
67
, Amer. Math. Soc., Providence, RI, 1999.
7
: L. Hesselholt, I. Madsen,
Cyclic polytopes and the
K
-theory of truncated polynomial algebras
,
Invent. Math.
130
(1997), 73-97.
6
: L. Hesselholt,
Witt vectors of non-commutative rings and topological cyclic homology
,
Acta Math.
178
(1997), 109-141;
Correction to "Witt vectors of non-commutative rings and topological cyclic homlogy,"
Acta Math.
195
(2005), 55-60.
5
: L. Hesselholt,
On the
p
-typical curves in Quillen's
K
-theory
,
Acta Math.
177
(1996), 1-53.
4
: L. Hesselholt, I. Madsen,
On the
K
-theory of finite algebras over Witt vectors of perfect fields
,
Topology
36
(1997), 29-101.
3
: L. Hesselholt, I. Madsen,
The
S
1
-Tate spectrum for
J
,
Papers in honor of Jose Adem (Spanish)
. Bol. Soc. Mat. Mexicana
37
(1992), 215-240.
2
: L. Hesselholt,
Stable topological cyclic homology is topological Hochschild homology
,
K-theory (Strasbourg, 1992)
, pp. 175-192, Asterisque
226
(1994).
1
: L. Hesselholt,
A homotopy theoretical derivation of
Q
Map(
K
,-)
+
,
Math. Scand.
70
(1992), 193-203.
Books and Surveys
9
: L. Hesselholt,
Topological cyclic homology
. Based on notes by Lucy Yang. Lecture notes from 2019 Oberwolfach Seminar.
8
: L. Hesselholt, N. Wahl,
Lineær algebra
[Danish], Third Edition, 2023, v+275 pp.
7
: L. Hesselholt, T. Nikolaus,
Topological cyclic homology
,
Handbook of Homotopy Theory
, pp. 621-658, CRC Press/Chapman and Hall Handbook in Mathematics Series, Boca Raton, FL, 2019.
6
: L. Hesselholt,
Algebraic
K
-theory and the
p
-adic
L
-function
, expository note.
5
: L. Hesselholt, I. Madsen
Real algebraic
K
-theory
, preliminary version.
4
: L. Hesselholt,
Lecture notes on the big de Rham-Witt complex
, Lectures notes 2009.
3
: L. Hesselholt,
Lecture notes on Witt vectors
, Lectures notes 2005.
2
: L. Hesselholt,
The absolute de Rham-Witt complex
, Preprint 2005.
1
: L. Hesselholt,
K
-theory of truncated polynomial algebras
,
Handbook of K-theory
, vol. 1, pp. 71-110, Springer-Verlag, Berlin, 2005.