B. Botvinnik

发表

Positive scalar curvature on stratified spaces, I: the simply connected case

J. Rosenberg, Paolo Piazza, B. Botvinnik, 2019 .

Highly connected manifolds of positive p -curvature

B. Botvinnik, M. Labbi, 2012, 1201.1849.

Conformal Laplacian and Conical Singularities

S. Preston, B. Botvinnik, 2002, math/0201058.

The Yamabe invariants of orbifolds and cylindrical manifolds, and $L^2$-harmonic spinors

K. Akutagawa, B. Botvinnik, 2002, math/0204072.

The Weyl functional near the Yamabe invariant

H. Seshadri, Osamu Kobayashi, K. Akutagawa, 2002, math/0201153.

Yamabe metrics on cylindrical manifolds

K. Akutagawa, B. Botvinnik, 2001, math/0107164.

Manifolds of positive scalar curvature and conformal cobordism theory

K. Akutagawa, B. Botvinnik, 2000, math/0008139.

The Yamabe Invariant for Non-Simply Connected Manifolds

J. Rosenberg, B. Botvinnik, 2001, math/0104186.

Relative Yamabe Invariant

K. Akutagawa, B. Botvinnik, 2000, math/0008138.

Concordance and Isotopy of Metrics with Positive Scalar Curvature

B. Botvinnik, 2013, Geometric and Functional Analysis.

On Rigidly Scalar-Flat Manifolds

B. McInnes, B. Botvinnik, 1999, math/9911023.

N ov 1 99 9 On Rigidly Scalar-Flat Manifolds

B. McInnes, B. Botvinnik, 1999 .

The Eta Invariant, Equivariant Spin Bordism and Metrics of Positive Scalar Curvature

P. Gilkey, B. Botvinnik, 1995 .

Minimal hypersurfaces and bordism of positive scalar curvature metrics

Demetre Kazaras, B. Botvinnik, D. Kazaras, 2016, 1609.09142.

Infinite loop spaces and positive scalar curvature

Johannes Ebert, O. Randal-Williams, B. Botvinnik, 2014, 1411.7408.

J an 2 00 2 Conformal Laplacian and Conical Singularities

S. Preston, B. Botvinnik, 2002 .

Families of diffeomorphisms and concordances detected by trivalent graphs

Tadayuki Watanabe, B. Botvinnik, 2022, Journal of Topology.

Homotopy groups of the moduli space of metrics of positive scalar curvature

T. Schick, B. Botvinnik, B. Hanke, 2009, 0907.5188.

Metrics of Positive Scalar Curvature on Spherical Space Forms

P. Gilkey, B. Botvinnik, 1996, Canadian Journal of Mathematics.

Homotopy groups of the observer moduli space of Ricci positive metrics

D. Wraith, B. Botvinnik, M. Walsh, 2017, Geometry & Topology.

Positive Scalar Curvature on Spin Pseudomanifolds: the Fundamental Group and Secondary Invariants

J. Rosenberg, Paolo Piazza, B. Botvinnik, 2020, Symmetry, Integrability and Geometry: Methods and Applications.

Concordance and Isotopy of Metrics with Positive Scalar Curvature

B. Botvinnik, 2012, 1211.4879.

D G ] 1 7 A ug 2 00 0 Relative Yamabe Invariant

K. Akutagawa, B. Botvinnik, 2008 .

The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology

P. Gilkey, B. Botvinnik, S. Stolz, 1997 .

Minimal hypersurfaces and bordism of positive scalar curvature metrics

Demetre Kazaras, B. Botvinnik, D. Kazaras, 2017, Mathematische Annalen.

Positive scalar curvature for manifolds with elementary abelian fundamental group

J. Rosenberg, B. Botvinnik, Jonathan Rosenberg, 2004 .

Singularities and Higher Torsion in Symplectic Cobordism

S. Kochman, B. Botvinnik, 1994, Canadian Journal of Mathematics.

The Yamabe invariant of orbifolds and $L^2$-harmonic spinors

K. Akutagawa, B. Botvinnik, 2002 .

Fe b 20 03 Yamabe metrics on cylindrical manifolds

K. Akutagawa, B. Botvinnik, 2003 .

Positive scalar curvature on $\mathbf{Pin}^\pm$- and $\mathbf{Spin}^c$-manifolds

B. Botvinnik, Jonathan Rosenberg, 2021, 2103.00617.

Positive scalar curvature on simply connected spin pseudomanifolds

B. Botvinnik, Jonathan Rosenberg, P. Piazza, 2019, Journal of Topology and Analysis.

Positive scalar curvature on manifolds with fibered singularities

B. Botvinnik, Jonathan Rosenberg, 2018, 1808.06007.

Manifolds with singularities accepting a metric of positive scalar curvature

B. Botvinnik, 1999, math/9910177.

Algebraic Aspects of the Theory of Product Structures in Complex Cobordism

S. Novikov, V. Buchstaber, B. Botvinnik, 2001, math/0103066.

Algebraic aspects of the theory of multiplications in complex cobordism theory

V. Buchstaber, B. Botvinnik, S. Yuzvinsky, 2000 .

Manifolds with Singularities and the Adams-Novikov Spectral Sequence

B. Botvinnik, 1992 .

Adams spectral sequence and higher torsion in MSp

S. Kochman, B. Botvinnik, 1996 .

Multiplicative characteristics of the spectral sequence of singularities

V. Vershinin, B. Botvinnik, 1987 .

THE STRUCTURE OF THE RING MSU

B. Botvinnik, 1991 .

Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities

B. Botvinnik, M. Walsh, 2020, 2005.03073.

An analytic computation of $ko_{4v-1}(BQ_8)$

P. Gilkey, B. Botvinnik, 1995 .

Infinite loop spaces and positive scalar curvature

Johannes Ebert, O. Randal-Williams, B. Botvinnik, 2017, Inventiones mathematicae.

Cheeger-Gromov convergence in a conformal setting. I

B. Botvinnik, O. Muller, 2015, 1512.07651.

Perspectives in Scalar Curvature

Convergence, C. Sormani, B. Botvinnik, 2021, 2103.00617.

Symmetries of exotic spheres via complex and quaternionic Mahowald invariants

B. Botvinnik, J. D. Quigley, 2023, 2309.04275.

On the topology of the space of Ricci-positive metrics

Johannes Ebert, D. Wraith, B. Botvinnik, 2018, Proceedings of the American Mathematical Society.

Generalized positive scalar curvature on spin$^c$ manifolds

B. Botvinnik, Jonathan Rosenberg, 2024, 2404.00703.

Evolution of relative Yamabe constant under Ricci Flow

P. Lu, B. Botvinnik, 2019, 1901.11169.