Vladimir Abramovich Rokhlin and algebraic topology
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Publication:5085298
DOI10.1090/conm/772/15481zbMath1489.55001OpenAlexW3202045596MaRDI QIDQ5085298
Publication date: 27 June 2022
Published in: Topology, Geometry, and Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/conm/772/15481
Biographies, obituaries, personalia, bibliographies (01A70) Research exposition (monographs, survey articles) pertaining to algebraic topology (55-02) History of algebraic topology (55-03)
Cites Work
- Topological quantum field theories
- The signature of SU-varieties
- Two-dimensional submanifolds of four-dimensional manifolds
- On manifolds homeomorphic to the 7-sphere
- Quasifaserungen und unendliche symmetrische Produkte
- The space of loops on a Lie group
- The topology of four-dimensional manifolds
- 15-vertex triangulations of an 8-manifold
- The structure of the Torelli group. III: The abelianization of \({\mathcal S}\)
- A la recherche de la topologie perdue. 1: Du côté de chez Rohlin. 2: Le côté de Casson
- Quantum field theory and the Jones polynomial
- The partition function of a degenerate functional
- Topology I. Part 1: General survey. Transl. from the Russian by B. Botvinnik and R. G. Burns
- Combinatorial computation of characteristic classes
- Combinatorial calculus of characteristic classes
- Gauge theory for embedded surfaces. I
- Generalized Rochlin invariants of fixed point sets
- Gauge theory for embedded surfaces. II
- The genus of embedded surfaces in the projective plane
- The symplectic Thom conjecture
- A 15-vertex triangulation of the quaternionic projective plane
- Relations among characteristic numbers. I
- Relations among characteristic numbers. II
- On the groups \(J(X)\). IV
- Integral characteristic numbers for weakly almost complex manifolds
- The relation of cobordism to K-theories
- Chern characters revisited
- Quelques propriétés globales des variétés différentiables
- Reduced product spaces
- Small covers of graph-associahedra and realization of cycles
- On the Cobordism Ring Ω ∗ and a Complex Analogue, Part I
- Pin(2)-Equivariant Seiberg-Witten Floer homology and the Triangulation Conjecture
- A survey of bordism and cobordism
- Quadratic Forms and the Birman-Craggs Homomorphisms
- Signature modulo 16, invariants de Kervaire généralisés et nombres caractéristiques dans la $K$-théorie réelle
- EXISTENCE OF MULTIPLICATIVE STRUCTURES IN THE THEORIES OF COBORDISM WITH SINGULARITIES
- The μ-Invariant of 3-Manifolds and Certain Structural Properties of the Group of Homeomorphisms of a Closed, Oriented 2-Manifold
- The Signature of Symplectic Manifolds
- Instantons and monopoles
- Local formulae for combinatorial Pontryagin classes
- Topology in the 20th century: a view from the inside
- Complex cobordism and formal groups
- An explicit local combinatorial formula for the first Pontryagin class
- Partially framed manifolds and loop spaces on the group
- -bordism: structure results and geometric representatives
- Thom Complexes
- Generalized Homology Theories
- Note on the cobordism ring
- Cohomological rigidity of manifolds defined by 3-dimensional polytopes
- Computation of characteristic classes of a manifold from a triangulation of it
- Toric Topology
- Riemann-Roch theorems for differentiable manifolds
- Cobordism Operations and Hopf Algebras
- On the formal group laws of unoriented and complex cobordism theory
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