Markus Upmeier

View Scopus Profile

Accepting PhD Students

PhD projects

Algebraic topology, differential geometry, index theory

43

Citations

Research activity per year

13 Article
1 Published conference contribution
1 Working paper

15 results

2023
Canonical orientations for moduli spaces of G2-instantons with gauge group SU(m) or U(m)
Joyce, D. & Upmeier, M., 16 Jun 2023, In: Journal of Differential Geometry. 124, 2, p. 199-229 31 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
19 Downloads (Pure)
2022
Vertex F-algebra structures on the complex oriented homology of H-spaces
Gross, J. & Upmeier, M., Aug 2022, In: Journal of Pure and Applied Algebra. 226, 8, 13 p., 107019.
Research output: Contribution to journal › Article › peer-review

Open Access
File
2 Downloads (Pure)
2021
Canonical orientations for moduli spaces of G2-instantons with gauge group SU(m) or U(m)
Upmeier, M. & Joyce, D., 12 Sept 2021, ArXiv, 30 p.
Research output: Working paper

Open Access
A categorified excision principle for elliptic symbol families
Upmeier, M., 1 Sept 2021, In: Quarterly Journal of Mathematics. 72, 3, p. 1099–1132 34 p.
Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus)
Connections on central extensions, lifting gerbes, and finite-dimensional obstruction vanishing
Biswas, I. & Upmeier, M., 30 Jul 2021, Geometry at the Frontier: Symmetries and Moduli Spaces of Algebraic Varieties. Comparin, P., Esteves, E., Reyes-Carocca, S., Rodríguez, R. E. & Lange, H. (eds.). American Mathematical Society, Vol. 766. p. 39-56 (Contemporary Mathematics).
Research output: Chapter in Book/Report/Conference proceeding › Published conference contribution
1 Citation (Scopus)
On spin structures and orientations for gauge-theoretic moduli spaces
Joyce, D. & Upmeier, M., 16 Apr 2021, In: Advances in Mathematics. 381, 55 p., 107630.
Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)
Orientation data for moduli spaces of coherent sheaves over Calabi-Yau 3-folds
Upmeier, M. & Joyce, D., 16 Apr 2021, In: Advances in Mathematics. 381, 47 p., 107627.
Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)
2020
Closed almost Kähler 4-manifolds of constant non-negative Hermitian holomorphic sectional curvature are Kähler
Lejmi, M. & Upmeier, M., 31 Dec 2020, In: Tohoku Mathematical Journal. 72, 4, p. 581-594 14 p.
Research output: Contribution to journal › Article › peer-review
Integrability theorems and conformally constant Chern scalar curvature metrics in almost Hermitian geometry
Lejmi, M. & Upmeier, M., 7 Dec 2020, In: Communications in Analysis and Geometry. 28, 7, p. 1603 – 1645 43 p.
Research output: Contribution to journal › Article › peer-review
7 Citations (Scopus)
On orientations for gauge-theoretic moduli spaces
Joyce, D., Tanaka, Y. & Upmeier, M., 4 Mar 2020, In: Advances in Mathematics. 362, 64 p., 106957.
Research output: Contribution to journal › Article › peer-review
12 Citations (Scopus)
2018
Chern's contribution to the Hopf problem: An exposition based on Bryant's paper
Upmeier, M. & Tralle, A., 1 Apr 2018, In: Differential Geometry and its Applications. 57, p. 138-146 8 p.
Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus)
2017
The canonical 2-gerbe of a holomorphic vector bundle
Upmeier, M., 2017, In: Theory and Applications of Categories. 32, 30, p. 1028-1049 23 p.
Research output: Contribution to journal › Article › peer-review
2015
Refinements of the Chern-Dold character: cocycle additions in differential cohomology
Upmeier, M., 24 Apr 2015, In: Journal of Homotopy and Related Structures. 11, 2, p. 291-307
Research output: Contribution to journal › Article › peer-review

Open Access
2 Citations (Scopus)
Algebraic structure and integration maps in cocycle models for differential cohomology
Upmeier, M., 23 Mar 2015, In: Algebraic & Geometric Topology. 15, 1, p. 65-83
Research output: Contribution to journal › Article › peer-review

Open Access
3 Citations (Scopus)
Extremal K-contact metrics
Upmeier, M. & Lejmi, M., 2015, In: Mathematische Zeitschrift. 281, 3, p. 673-687 14 p.
Research output: Contribution to journal › Article › peer-review

Open Access

Markus Upmeier

Research output

Search results